Question

the hcf of 45,63 and 108​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Numbers are 45,63 and 108}$

$\underline{\textsf{To find:}}$

$\textsf{The H.C.F of 45,63 and 108}$

$\underline{\textsf{Solution:}}$

$\textsf{We find the H.C.F of the given numbers by prime factorization method}$

$\mathsf{45=\boxed{3{\times}3}{\times}5}$

$\mathsf{63=\boxed{3{\times}3}{\times}7}$

$\mathsf{108=2{\times}2{\times}\boxed{3{\times}3}{\times}3}$

$\textsf{Choose the common factors, we get}$

$\mathsf{H.C.F=3{\times}3}$

$\implies\boxed{\mathsf{H.C.F=9}}$

$\underline{\textsf{Answer:}}$

$\textsf{The H.C.F of 45,63 and 108 is 9}$

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