Question

What is the HCF of 984,1320 .

Answer 1

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

$\textsf{984, 1320}$

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

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

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

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

$\mathsf{984=2^3{\times}3{\times}41}$

$\mathsf{1320=2^3{\times}3{\times}5{\times}11}$

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

$\mathsf{984=\boxed{2}{\times}\boxed{2}{\times}\boxed{2}{\times}\boxed{3}{\times}41}$

$\mathsf{1320=\boxed{2}{\times}\boxed{2}{\times}\boxed{2}{\times}\boxed{3}{\times}5{\times}11}$

$\mathsf{H.C.F=2{\times}2{\times}2{\times}3}$

$\implies\boxed{\boxed{\mathsf{H.C.F=24}}}$

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

Find H.C.F of 144 ,180, 96.​

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