Use Euclid's division algorithm to find the H | vedclass

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Question

(D) Let $a = 693$,$b = 567$,and $c = 441$. By Euclid's division algorithm,$a = bq + r$,where $0 \le r < b$. First,we find the $HCF$ of $693$ and $567$

Vedclass · Accepted Answer

$63$

Vedclass · Answer

(D) Let $a = 693$,$b = 567$,and $c = 441$. By Euclid's division algorithm,$a = bq + r$,where $0 \le r First,we find the $HCF$ of $693$ and $567$: $693 = 567 	imes 1 + 126$ $567 = 126 	imes 4 + 63$ $126 = 63 	imes 2 + 0$ Since the remainder is $0$,the $HCF(693, 567) = 63$. Now,we find the $HCF$ of the result $(63)$ and the remaining number $(441)$: $441 = 63 	imes 7 + 0$ Since the remainder is $0$,the $HCF(63, 441) = 63$. Therefore,the $HCF$ of $441, 567, 693$ is $63$.

Use Euclid's division algorithm to find the $HCF$ of $441, 567, 693$.

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