{"id":16919,"date":"2026-05-02T01:05:47","date_gmt":"2026-05-01T19:05:47","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/greatest-divisor-leaving-same-remainder-3\/"},"modified":"2026-05-02T01:05:47","modified_gmt":"2026-05-01T19:05:47","slug":"greatest-divisor-leaving-same-remainder-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/greatest-divisor-leaving-same-remainder-3\/","title":{"rendered":"Greatest Divisor Leaving Same Remainder 3"},"content":{"rendered":"<p>Find the greatest number that divides 391, 559, and 727 leaving the same remainder in each case.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>84<\/li>\n<li>336<\/li>\n<li>1<\/li>\n<li>168<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2631,2540],"subject":[1425],"education_level":[1896],"class_list":["post-16919","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-gcd-and-lcm","topic-remainders","subject-mathematics","education_level-hsc"],"mcq_note":"If a divisor leaves the same remainder, it must divide all pairwise differences. GCD of the differences is 168.","mcq_options":[{"right":"no","answer":"84"},{"right":"no","answer":"336"},{"right":"no","answer":"1"},{"right":"yes","answer":"168"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2631,"title":"GCD And LCM","slug":"gcd-and-lcm"},{"id":2540,"title":"Remainders","slug":"remainders"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16919","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=16919"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16919"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16919"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16919"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}