Find the H.C.F of 12, 24 and 36.

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$24$

$12$

$15$

$8$

answer is B.

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Detailed Solution

Given numbers are $12, 24 and 36$ .

We have to find H.C.F using prime factorization method. So, we have to find prime factors of each number.

Prime factors of $12$ are $: 2 \times 2 \times 3$

Prime factors of $24$ are $: 2 \times 2 \times 2 \times 3$

Prime factors of $36$ are $: 2 \times 2 \times 3 \times 3$

The common factors of $12, 24 and 36$ are $: 2, 2 and 3$ .

Therefore, H.C.F of $12, 24 and 36$ is $2 \times 2 \times 3 = 12 .$

Hence, the correct answer is option B.

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