Question

7. The HCF of 12 and 16 is​

Answer 1

Step-by-step explanation:

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Answer 2

ANSWER :-

• H.C.F of 12 is 6
• H.C F of 16 is 4

TO FIND :-

• H.C F of 12.
• H.C.F of 16.

SOLUTION :-

1) 12

$\huge{ \begin{array}{c|c}2&12\\ \cline{1 - 2}2&6\cline{2 - 3}3&3 \cline{3 - 4}&1\end{array}}$

Factors of 12 = 2 × 2 × 3

2) 16

$\huge{ \begin{array}{c|c}2&16\\ \cline{1 - 2} 2&8 \cline{2 - 3}2&4 \cline{3 - 4}2&2 \cline{4 - 5}&1\end{array}}$

Factors of 16 = 2× 2× 2 × 2

H.C.F of 12 and 16 = $\tt{ H.C.F. = \underbrace{ 2 \times 2} \times \underbrace{ 2 \times 2 } }$

H.C.F = 4

Hence, HCF of 12 and 16 is 4.