Using Euelids divison algorithm, Find the $H C F$ of $2160$ and $3520$ .

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Solution

Using Euelids division algorithm, we get
Factors of $2160 = 2^{4} \times 3^{3} \times 5$
Factors of $3520 = 2^{4} \times 2^{2} \times 11 \times 5$

Hence,
$H C F$ of both numbers $= 2^{4} \times 5 = 80.$

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