Find the largest number which divides 615 and | vedclass

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Question

(A) To find the largest number that divides $615$ and $963$ leaving a remainder of $6$ in each case,we first subtract the remainder from both numbers.

Vedclass · Accepted Answer

$87$

Vedclass · Answer

(A) To find the largest number that divides $615$ and $963$ leaving a remainder of $6$ in each case,we first subtract the remainder from both numbers.$615 - 6 = 609$$963 - 6 = 957$Now,we need to find the Highest Common Factor $(HCF)$ of $609$ and $957$.Prime factorization of $609 = 3 	imes 7 	imes 29$Prime factorization of $957 = 3 	imes 11 	imes 29$The common factors are $3$ and $29$.$HCF = 3 	imes 29 = 87$.Therefore,the largest number is $87$.

Find the largest number which divides $615$ and $963$ leaving remainder $6$ in each case.

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