{"id":240386,"date":"2025-07-03T08:44:38","date_gmt":"2025-07-03T08:44:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=240386"},"modified":"2025-07-03T08:44:41","modified_gmt":"2025-07-03T08:44:41","slug":"find-the-hcf-and-lcm-of-354050-using-the-division-method","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/find-the-hcf-and-lcm-of-354050-using-the-division-method\/","title":{"rendered":"Find the HCF and LCM of 35,40,50 using the division method"},"content":{"rendered":"\n<p>Find the HCF and LCM of 35,40,50 using the division method<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the HCF and LCM of 35, 40, and 50 using the division method, follow the steps below:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Division Method for HCF<\/h3>\n\n\n\n<p>The division method involves dividing the numbers by their common divisors until only the HCF remains.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Divide 50 by 35. The quotient is 1 and the remainder is 15. 50\u00f735=1remainder1550 \\div 35 = 1 \\quad \\text{remainder} \\quad 15<\/li>\n\n\n\n<li>Divide 35 by 15. The quotient is 2 and the remainder is 5. 35\u00f715=2remainder535 \\div 15 = 2 \\quad \\text{remainder} \\quad 5<\/li>\n\n\n\n<li>Divide 15 by 5. The quotient is 3 and the remainder is 0. 15\u00f75=3remainder015 \\div 5 = 3 \\quad \\text{remainder} \\quad 0<\/li>\n<\/ol>\n\n\n\n<p>The remainder is now zero, so the divisor at this step (which is 5) is the <strong>HCF<\/strong>.<\/p>\n\n\n\n<p>Thus, the <strong>HCF<\/strong> of 35, 40, and 50 is <strong>5<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Division Method for LCM<\/h3>\n\n\n\n<p>The LCM can be found using the relation between LCM and HCF: LCM(a,b,c)=a\u00d7b\u00d7cHCF(a,b,c)\\text{LCM}(a, b, c) = \\frac{a \\times b \\times c}{\\text{HCF}(a, b, c)}<\/p>\n\n\n\n<p>Given that the HCF of 35, 40, and 50 is 5, we can now calculate the LCM: LCM(35,40,50)=35\u00d740\u00d7505=700005=14000\\text{LCM}(35, 40, 50) = \\frac{35 \\times 40 \\times 50}{5} = \\frac{70000}{5} = 14000<\/p>\n\n\n\n<p>Thus, the <strong>LCM<\/strong> of 35, 40, and 50 is <strong>14,000<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The HCF is the largest number that divides all the given numbers without leaving a remainder. In this case, 5 is the largest number that divides 35, 40, and 50 without a remainder. The LCM is the smallest number that all the given numbers divide into evenly. Using the formula relating HCF and LCM, we calculate the LCM as 14,000.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find the HCF and LCM of 35,40,50 using the division method The correct answer and explanation is: To find the HCF and LCM of 35, 40, and 50 using the division method, follow the steps below: Step 1: Division Method for HCF The division method involves dividing the numbers by their common divisors until only [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-240386","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240386","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=240386"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240386\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=240386"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=240386"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=240386"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}