{"id":168,"date":"2022-04-13T10:13:23","date_gmt":"2022-04-13T10:13:23","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=168"},"modified":"2025-01-21T09:56:26","modified_gmt":"2025-01-21T09:56:26","slug":"i-1-hcf-of-monomials","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/i-1-hcf-of-monomials\/","title":{"rendered":"I.1 HCF of monomials"},"content":{"rendered":"\n

HCF of monomials<\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

To find the highest common factor (HCF) of two or more monomials, find the prime factorization of each monomial, identify the common factors, and multiply them together.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Find the highest common factor.<\/strong><\/p>\n\n\n\n

3c2<\/sup>, 3<\/p>\n\n\n\n

Write\u00a0your answer as a constant times a product of single variables raised to\u00a0exponents.<\/em><\/strong>____________<\/p>\n<\/div><\/div>\n\n\n\n

Factorise each monomial and find the common factors.<\/p>\n\n\n\n

3c2<\/sup>=3<\/strong> . c . c<\/p>\n\n\n\n

3=3<\/strong><\/p>\n\n\n\n

The only common factor is 3. So, the highest common factor is 3.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

Find the highest common factor.<\/strong><\/p>\n\n\n\n

3b2<\/sup>, 3b3<\/sup><\/p>\n\n\n\n

Write\u00a0your answer as a constant times a product of single variables raised to\u00a0exponents.<\/strong>____________<\/p>\n<\/div><\/div>\n\n\n\n

First, factorise each monomial and find the common factors.<\/p>\n\n\n\n

3b2<\/sup>=3<\/strong> . b . b<\/p>\n\n\n\n

3b3<\/sup>=3<\/strong> . b . b . b<\/p>\n\n\n\n

The common factors are 3, b and b. Multiply them to find the highest common factor.<\/p>\n\n\n\n

3 . b . b=3b2<\/sup><\/p>\n\n\n\n

The highest common factor is 3b2.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n
\n

Find the highest common factor.<\/strong><\/p>\n\n\n\n

2c, 6c3<\/sup><\/p>\n\n\n\n

Write\u00a0your answer as a constant times a product of single variables raised to\u00a0exponents.<\/em><\/strong>____________<\/p>\n<\/div><\/div>\n\n\n\n

First, factorise each monomial and find the common factors.<\/p>\n\n\n\n

2c=2<\/strong> . c<\/p>\n\n\n\n

6c3<\/sup>=2<\/strong> . 3 . c . c . c<\/p>\n\n\n\n

The common factors are 2 and c. Multiply them to find the highest common factor.<\/p>\n\n\n\n

2 . c=2c<\/p>\n\n\n\n

The highest common factor is 2c.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

Let’s practice!<\/p>\n\n\n\n

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HCF of monomials Key Notes : To find the highest common factor (HCF) of two or more monomials, find the prime factorization of each monomial, identify the common factors, and multiply them together. Learn with an example Find the highest common factor. 3c2, 3 Write\u00a0your answer as a constant times a product of single variables raised to\u00a0exponents.____________ Factorise each monomial andContinue reading “I.1 HCF of monomials”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-168","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/168","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=168"}],"version-history":[{"count":13,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/168\/revisions"}],"predecessor-version":[{"id":17425,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/168\/revisions\/17425"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}