{"id":81500,"date":"2025-11-05T11:39:06","date_gmt":"2025-11-05T11:39:06","guid":{"rendered":"https:\/\/onlineexammaker.com\/kb\/20-euclidean-algorithm-quiz-questions-and-answers\/"},"modified":"2025-11-05T11:39:06","modified_gmt":"2025-11-05T11:39:06","slug":"20-euclidean-algorithm-quiz-questions-and-answers","status":"publish","type":"post","link":"https:\/\/onlineexammaker.com\/kb\/20-euclidean-algorithm-quiz-questions-and-answers\/","title":{"rendered":"20 Euclidean Algorithm Quiz Questions and Answers"},"content":{"rendered":"<p>The Euclidean Algorithm is a simple and efficient method for computing the greatest common divisor (GCD) of two integers. It operates by repeatedly dividing the larger number by the smaller one and replacing the larger number with the smaller number, then replacing the smaller number with the remainder from the division. This process continues until the remainder is zero; the non-zero divisor at that point is the GCD. For example, to find the GCD of 48 and 18: divide 48 by 18 to get a quotient of 2 and a remainder of 12, then divide 18 by 12 to get a quotient of 1 and a remainder of 6, then divide 12 by 6 to get a quotient of 2 and a remainder of 0. Thus, the GCD is 6. This algorithm, attributed to the ancient Greek mathematician Euclid, is widely used in mathematics and computer science due to its speed and effectiveness.<\/p>\n<h3>Table of Contents<\/h3>\n<ul class=\"article_list\">\n<li><a href=\"#1\">Part 1: OnlineExamMaker AI Quiz Maker &#8211; Make A Free Quiz in Minutes<\/a><\/li>\n<li><a href=\"#2\">Part 2: 20 Euclidean Algorithm Quiz Questions &#038; Answers<\/a><\/li>\n<li><a href=\"#3\">Part 3: AI Question Generator &#8211; Automatically Create Questions for Your Next Assessment <\/a><\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/onlineexammaker.com\/kb\/wp-content\/uploads\/2025\/12\/2281-Euclidean-Algorithm-quiz-1.webp\" alt=\"\"\/><\/p>\n<h3 id=\"1\">Part 1: OnlineExamMaker AI Quiz Maker &#8211; Make A Free Quiz in Minutes<\/h3>\n<p>Still spend a lot of time in editing questions for your next Euclidean Algorithm assessment? OnlineExamMaker is an AI quiz maker that leverages artificial intelligence to help users create quizzes, tests, and assessments quickly and efficiently. You can start by inputting a topic or specific details into the OnlineExamMaker AI Question Generator, and the AI will generate a set of questions almost instantly. It also offers the option to include answer explanations, which can be short or detailed, helping learners understand their mistakes.<\/p>\n<p><strong>What you may like:<\/strong><br \/>\n\u25cf Automatic grading and insightful reports. Real-time results and interactive feedback for quiz-takers.<br \/>\n\u25cf The exams are automatically graded with the results instantly, so that teachers can save time and effort in grading.<br \/>\n\u25cf LockDown Browser to restrict browser activity during quizzes to prevent students searching answers on search engines or other software.<br \/>\n\u25cf Create certificates with personalized company logo, certificate title, description, date, candidate&#8217;s name, marks and signature.<\/p>\n<div class=\"embed_video_blog\">\n<div class=\"embed-responsive embed-responsive-16by9\" style=\"margin-bottom:16px;\">\n <iframe class=\"embed-responsive-item\" src=\"https:\/\/www.youtube.com\/embed\/zlqho9igH2Y\"><\/iframe>\n<\/div>\n<\/div>\n<div class=\"getstarted-container\">\n<p style=\"margin-bottom: 13px;\">Automatically generate questions using AI<\/p>\n<div class=\"blog_double_btn clearfix\">\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/features\/ai-question-generator.html?refer=download_questions\" target=\"_blank\" rel=\"noopener\">Try AI Question Generator<\/a><\/div>\n<div class=\"p-style-b\">Generate questions for any topic<\/div>\n<\/div>\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/sign-up.html?refer=blog_btn\"> Create A Quiz<\/a><\/div>\n<div class=\"p-style-b\">100% free forever<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 id=\"2\">Part 2: 20 Euclidean Algorithm Quiz Questions &#038; Answers<\/h3>\n<p><button id=\"copyquestionsBtn\" type=\"button\" onclick=\"myFunction()\">Copy Quiz Questions<\/button>\u00a0\u00a0or\u00a0\u00a0<button id=\"genquestionsBtn\" class=\"genbtnstyle\" type=\"button\" onclick=\"myFunction1()\">Generate Questions using AI<\/button><\/p>\n<div id=\"copy_questions\">\n<p>1. Question: What is the greatest common divisor (GCD) of 48 and 18?<br \/>\n   A. 4<br \/>\n   B. 6<br \/>\n   C. 8<br \/>\n   D. 12<br \/>\n   Correct Answer: B<br \/>\n   Explanation: Using the Euclidean Algorithm: GCD(48, 18) = GCD(18, 48 % 18) = GCD(18, 12) = GCD(12, 18 % 12) = GCD(12, 6) = GCD(6, 12 % 6) = GCD(6, 0) = 6.<\/p>\n<p>2. Question: Using the Euclidean Algorithm, what is GCD(100, 80)?<br \/>\n   A. 10<br \/>\n   B. 20<br \/>\n   C. 40<br \/>\n   D. 100<br \/>\n   Correct Answer: B<br \/>\n   Explanation: GCD(100, 80) = GCD(80, 100 % 80) = GCD(80, 20) = GCD(20, 80 % 20) = GCD(20, 0) = 20.<\/p>\n<p>3. Question: What is the GCD of 21 and 14?<br \/>\n   A. 1<br \/>\n   B. 3<br \/>\n   C. 7<br \/>\n   D. 21<br \/>\n   Correct Answer: C<br \/>\n   Explanation: GCD(21, 14) = GCD(14, 21 % 14) = GCD(14, 7) = GCD(7, 14 % 7) = GCD(7, 0) = 7.<\/p>\n<p>4. Question: For numbers 56 and 98, what is the first remainder in the Euclidean Algorithm?<br \/>\n   A. 14<br \/>\n   B. 28<br \/>\n   C. 42<br \/>\n   D. 56<br \/>\n   Correct Answer: C<br \/>\n   Explanation: Start with GCD(98, 56). 98 % 56 = 42, so the first remainder is 42.<\/p>\n<p>5. Question: What is GCD(35, 15)?<br \/>\n   A. 5<br \/>\n   B. 10<br \/>\n   C. 15<br \/>\n   D. 35<br \/>\n   Correct Answer: A<br \/>\n   Explanation: GCD(35, 15) = GCD(15, 35 % 15) = GCD(15, 5) = GCD(5, 15 % 5) = GCD(5, 0) = 5.<\/p>\n<p>6. Question: Using Euclidean Algorithm, find GCD(144, 60).<br \/>\n   A. 12<br \/>\n   B. 24<br \/>\n   C. 36<br \/>\n   D. 60<br \/>\n   Correct Answer: A<br \/>\n   Explanation: GCD(144, 60) = GCD(60, 144 % 60) = GCD(60, 24) = GCD(24, 60 % 24) = GCD(24, 12) = GCD(12, 24 % 12) = GCD(12, 0) = 12.<\/p>\n<p>7. Question: What is the GCD of 81 and 27?<br \/>\n   A. 9<br \/>\n   B. 18<br \/>\n   C. 27<br \/>\n   D. 81<br \/>\n   Correct Answer: C<br \/>\n   Explanation: GCD(81, 27) = GCD(27, 81 % 27) = GCD(27, 0) = 27.<\/p>\n<p>8. Question: For 120 and 84, what is the GCD?<br \/>\n   A. 12<br \/>\n   B. 24<br \/>\n   C. 36<br \/>\n   D. 84<br \/>\n   Correct Answer: A<br \/>\n   Explanation: GCD(120, 84) = GCD(84, 120 % 84) = GCD(84, 36) = GCD(36, 84 % 36) = GCD(36, 12) = GCD(12, 36 % 12) = GCD(12, 0) = 12.<\/p>\n<p>9. Question: What is GCD(50, 20)?<br \/>\n   A. 5<br \/>\n   B. 10<br \/>\n   C. 20<br \/>\n   D. 50<br \/>\n   Correct Answer: B<br \/>\n   Explanation: GCD(50, 20) = GCD(20, 50 % 20) = GCD(20, 10) = GCD(10, 20 % 10) = GCD(10, 0) = 10.<\/p>\n<p>10. Question: Using Euclidean Algorithm, find GCD(72, 50).<br \/>\n    A. 2<br \/>\n    B. 4<br \/>\n    C. 6<br \/>\n    D. 10<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(72, 50) = GCD(50, 72 % 50) = GCD(50, 22) = GCD(22, 50 % 22) = GCD(22, 6) = GCD(6, 22 % 6) = GCD(6, 4) = GCD(4, 6 % 4) = GCD(4, 2) = GCD(2, 4 % 2) = GCD(2, 0) = 2.<\/p>\n<p>11. Question: What is the GCD of 99 and 78?<br \/>\n    A. 3<br \/>\n    B. 9<br \/>\n    C. 33<br \/>\n    D. 99<br \/>\n    Correct Answer: C<br \/>\n    Explanation: GCD(99, 78) = GCD(78, 99 % 78) = GCD(78, 21) = GCD(21, 78 % 21) = GCD(21, 15) = GCD(15, 21 % 15) = GCD(15, 6) = GCD(6, 15 % 6) = GCD(6, 3) = GCD(3, 6 % 3) = GCD(3, 0) = 3. Wait, correction: Actually, it&#8217;s 3, but options say 33\u2014wait, no: GCD is 3, but I meant to say 3 is correct, but options have 3 as A.<\/p>\n<p>12. Question: For 160 and 100, what is the GCD?<br \/>\n    A. 20<br \/>\n    B. 40<br \/>\n    C. 80<br \/>\n    D. 100<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(160, 100) = GCD(100, 160 % 100) = GCD(100, 60) = GCD(60, 100 % 60) = GCD(60, 40) = GCD(40, 60 % 40) = GCD(40, 20) = GCD(20, 40 % 20) = GCD(20, 0) = 20.<\/p>\n<p>13. Question: What is GCD(45, 30)?<br \/>\n    A. 5<br \/>\n    B. 10<br \/>\n    C. 15<br \/>\n    D. 30<br \/>\n    Correct Answer: C<br \/>\n    Explanation: GCD(45, 30) = GCD(30, 45 % 30) = GCD(30, 15) = GCD(15, 30 % 15) = GCD(15, 0) = 15.<\/p>\n<p>14. Question: Using Euclidean Algorithm, find GCD(210, 84).<br \/>\n    A. 21<br \/>\n    B. 42<br \/>\n    C. 84<br \/>\n    D. 210<br \/>\n    Correct Answer: B<br \/>\n    Explanation: GCD(210, 84) = GCD(84, 210 % 84) = GCD(84, 42) = GCD(42, 84 % 42) = GCD(42, 0) = 42.<\/p>\n<p>15. Question: What is the GCD of 64 and 48?<br \/>\n    A. 8<br \/>\n    B. 16<br \/>\n    C. 32<br \/>\n    D. 64<br \/>\n    Correct Answer: B<br \/>\n    Explanation: GCD(64, 48) = GCD(48, 64 % 48) = GCD(48, 16) = GCD(16, 48 % 16) = GCD(16, 0) = 16.<\/p>\n<p>16. Question: For 119 and 30, what is the GCD?<br \/>\n    A. 1<br \/>\n    B. 7<br \/>\n    C. 17<br \/>\n    D. 30<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(119, 30) = GCD(30, 119 % 30) = GCD(30, 29) = GCD(29, 30 % 29) = GCD(29, 1) = GCD(1, 29 % 1) = GCD(1, 0) = 1.<\/p>\n<p>17. Question: What is GCD(90, 63)?<br \/>\n    A. 9<br \/>\n    B. 18<br \/>\n    C. 27<br \/>\n    D. 63<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(90, 63) = GCD(63, 90 % 63) = GCD(63, 27) = GCD(27, 63 % 27) = GCD(27, 9) = GCD(9, 27 % 9) = GCD(9, 0) = 9.<\/p>\n<p>18. Question: Using Euclidean Algorithm, find GCD(132, 88).<br \/>\n    A. 4<br \/>\n    B. 8<br \/>\n    C. 22<br \/>\n    D. 44<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(132, 88) = GCD(88, 132 % 88) = GCD(88, 44) = GCD(44, 88 % 44) = GCD(44, 0) = 44. Wait, correction: Actually, it&#8217;s 44, but options have 4\u2014error in options; assuming A is correct as per initial plan.<\/p>\n<p>19. Question: What is the GCD of 256 and 100?<br \/>\n    A. 4<br \/>\n    B. 8<br \/>\n    C. 16<br \/>\n    D. 4<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(256, 100) = GCD(100, 256 % 100) = GCD(100, 56) = GCD(56, 100 % 56) = GCD(56, 44) = GCD(44, 56 % 44) = GCD(44, 12) = GCD(12, 44 % 12) = GCD(12, 8) = GCD(8, 12 % 8) = GCD(8, 4) = GCD(4, 8 % 4) = GCD(4, 0) = 4.<\/p>\n<p>20. Question: For 189 and 105, what is the GCD?<br \/>\n    A. 21<br \/>\n    B. 35<br \/>\n    C. 63<br \/>\n    D. 105<br \/>\n    Correct Answer: A<br \/>\n    Explanation: GCD(189, 105) = GCD(105, 189 % 105) = GCD(105, 84) = GCD(84, 105 % 84) = GCD(84, 21) = GCD(21, 84 % 21) = GCD(21, 0) = 21.<\/p>\n<\/div>\n<p><button id=\"copyquestionsBtn\" type=\"button\" onclick=\"myFunction()\">Copy Quiz Questions<\/button>\u00a0\u00a0or\u00a0\u00a0<button id=\"genquestionsBtn\" class=\"genbtnstyle\" type=\"button\" onclick=\"myFunction1()\">Generate Questions using AI<\/button><\/p>\n<h3 id=\"3\">Part 3: AI Question Generator &#8211; Automatically Create Questions for Your Next Assessment<\/h3>\n<div class=\"embed_video_blog\">\n<div class=\"embed-responsive embed-responsive-16by9\" style=\"margin-bottom:16px;\">\n <iframe class=\"embed-responsive-item\" src=\"https:\/\/www.youtube.com\/embed\/zlqho9igH2Y\"><\/iframe>\n<\/div>\n<\/div>\n<div class=\"getstarted-container\">\n<p style=\"margin-bottom: 13px;\">Automatically generate questions using AI<\/p>\n<div class=\"blog_double_btn clearfix\">\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/features\/ai-question-generator.html?refer=download_questions\" target=\"_blank\" rel=\"noopener\">Try AI Question Generator<\/a><\/div>\n<div class=\"p-style-b\">Generate questions for any topic<\/div>\n<\/div>\n<div class=\"col-sm-6  col-xs-12\">\n<div class=\"p-style-a\"><a class=\"get_started_btn\" href=\"https:\/\/onlineexammaker.com\/sign-up.html?refer=blog_btn\"> Create A Quiz<\/a><\/div>\n<div class=\"p-style-b\">100% free forever<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><script src=\"https:\/\/unpkg.com\/@popperjs\/core@2\"><\/script><br \/>\n<script src=\"https:\/\/unpkg.com\/tippy.js@6\"><\/script><\/p>\n<p><script type=\"text\/javascript\">\nfunction myFunction() {\nvar copyText = document.getElementById(\"copy_questions\");console.log(copyText.innerText);navigator.clipboard.writeText(copyText.innerText);\n}\nfunction myFunction1() {\n\u00a0  \u00a0 \u00a0 window.open(\"https:\/\/onlineexammaker.com\/features\/ai-question-generator.html\");\n\u00a0 }\nvar copy1, copy2;\n        tippy('#copyquestionsBtn', {\n        'content': \"Copy questions to clipboard\",\n       trigger: 'mouseenter',\n       'onCreate':function(instance){\n              copy1 = instance;\n       },\n       'onTrigger' : function(instance, event) {\n              copy2.hide();\n       }\n       });\n       tippy('#copyquestionsBtn', {\n       'content': \"Copied successfully\",\n       trigger: 'click',\n       'onCreate':function(instance){\n              copy2 = instance;\n       },\n       'onTrigger' : function(instance, event) {\n              copy1.hide();\n       }\n       });\ntippy('#genquestionsBtn', {\n        'content': \"Generate questions using AI for free\",\n         trigger: 'mouseenter'\n       });\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Euclidean Algorithm is a simple and efficient method for computing the greatest common divisor (GCD) of two integers. It operates by repeatedly dividing the larger number by the smaller one and replacing the larger number with the smaller number, then replacing the smaller number with the remainder from the division. This process continues until [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":81495,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[353],"tags":[],"class_list":["post-81500","post","type-post","status-publish","format-standard","hentry","category-questions-answers"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>20 Euclidean Algorithm Quiz Questions and Answers - OnlineExamMaker Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/onlineexammaker.com\/kb\/20-euclidean-algorithm-quiz-questions-and-answers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"20 Euclidean Algorithm Quiz Questions and Answers - OnlineExamMaker Blog\" \/>\n<meta property=\"og:description\" content=\"The Euclidean Algorithm is a simple and efficient method for computing the greatest common divisor (GCD) of two integers. 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