Question
Use Euclid's division algorithm to find the $HCF$ of:
$196$ and $38220$

Answer

Given integers are $38220$ and $196$.
Clearly $38220 > 196$. So we will apply Euclid’s division lemma to $38220$ and $196$, we $38220 = (196)(195) + 0$ get,
The remainder at this stage is $0$. So the divisor at this stage is the $H.C.F.$
So the $H.C.F$ of $38220$ and $196$ is $196$.

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