Question

find the hcf of 140 168 and 224

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{140, 168, 224}$

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

$\textsf{H.C.F of the given numbers}$

$\underline{\textbf{Solution:}}$

$\textsf{We find the HCF by prime factorization method}$

$\mathsf{140=2^2{\times}5{\times}7}$

$\mathsf{168=2^3{\times}3{\times}7}$

$\mathsf{224=2^5{\times}7}$

$\textsf{Now we find out the common factors}$

$\mathsf{140=\boxed{2}{\times}\boxed{2}{\times}5{\times}\boxed{7}}$

$\mathsf{168=\boxed{2}{\times}\boxed{2}{\times}2{\times}3{\times}\boxed{7}}$

$\mathsf{224=\boxed{2}{\times}\boxed{2}{\times}2{\times}{\times}2{\times}2{\times}\boxed{7}}$

$\mathsf{H.C.F=2{\times}2{\times}7}$

$\implies\boxed{\boxed{\mathsf{H.C.F=28}}}$

$\underline{\textbf{Find more:}}$

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