Question

Find the h. c. f of 24, 30, 36​

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}`

Explanation:

`\bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}`

`\text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}`

`\mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}`

`\mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}`

`\mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}`

`\text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}`

`\mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}`

`\mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}`

`\mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}`

`\mapsto{ \boxed{\sf{H.C.F = 6}}}`

`\text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }`

`\sf{Hope \: I \: helped !!}`

`\sf{Best \: regards !!}`

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`\text{ TheAnimeGirl}`