Question

Find the H.C.F of the following monomials. 2apower5 and 12apower2

Answer 1

Ans.

${2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ \\ {12}^{2} \\ = (3 \times 2 \times 2)^{2} \\ =3 \times 3 \times 2 \times 2 \times 2 \times 2$

So, common multiples are 2, 2, 2 and 2.

Hence, hcf = 2×2×2×2 = 16.

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