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

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(A) To find the $g.c.d.$ of $12576$ and $4052$ using Euclid's division algorithm,we follow these steps:Step $1$: Since $12576 > 4052$,we apply Euclid'

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) To find the $g.c.d.$ of $12576$ and $4052$ using Euclid's division algorithm,we follow these steps:Step $1$: Since $12576 > 4052$,we apply Euclid's division lemma to $12576$ and $4052$:$12576 = 4052 	imes 3 + 420$Step $2$: Since the remainder $420 
eq 0$,we apply the lemma to $4052$ and $420$:$4052 = 420 	imes 9 + 272$Step $3$: Since the remainder $272 
eq 0$,we apply the lemma to $420$ and $272$:$420 = 272 	imes 1 + 148$Step $4$: Since the remainder $148 
eq 0$,we apply the lemma to $272$ and $148$:$272 = 148 	imes 1 + 124$Step $5$: Since the remainder $124 
eq 0$,we apply the lemma to $148$ and $124$:$148 = 124 	imes 1 + 24$Step $6$: Since the remainder $24 
eq 0$,we apply the lemma to $124$ and $24$:$124 = 24 	imes 5 + 4$Step $7$: Since the remainder $4 
eq 0$,we apply the lemma to $24$ and $4$:$24 = 4 	imes 6 + 0$Since the remainder is now $0$,the divisor at this stage is the $g.c.d.$Therefore,the $g.c.d.$ of $12576$ and $4052$ is $4$.

Find the $g.c.d.$ (Greatest Common Divisor) of $12576$ and $4052$ using Euclid's division algorithm.

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