Find the g.c.d. (Greatest Common Divisor) of | vedclass

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(B) To find the $g.c.d.$ of $75$ and $243$ using Euclid's division algorithm,we apply the lemma $a = bq + r$ where $0 \le r < b$.Step $1$: Divide $243

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(B) To find the $g.c.d.$ of $75$ and $243$ using Euclid's division algorithm,we apply the lemma $a = bq + r$ where $0 \le r Step $1$: Divide $243$ by $75$.$243 = 75 	imes 3 + 18$Step $2$: Divide $75$ by $18$.$75 = 18 	imes 4 + 3$Step $3$: Divide $18$ by $3$.$18 = 3 	imes 6 + 0$Since the remainder is $0$,the divisor at this stage is the $g.c.d.$Therefore,the $g.c.d.$ of $75$ and $243$ is $3$.

Find the $g.c.d.$ (Greatest Common Divisor) of $75$ and $243$ using Euclid's division algorithm.

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