Find the greatest number which will divide 39 | vedclass

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Question

(C) To find the greatest number that divides $3962, 4085,$ and $4167$ leaving the same remainder,we calculate the differences between the numbers:$408

Vedclass · Accepted Answer

$41$

Vedclass · Answer

(C) To find the greatest number that divides $3962, 4085,$ and $4167$ leaving the same remainder,we calculate the differences between the numbers:$4085 - 3962 = 123$$4167 - 4085 = 82$$4167 - 3962 = 205$Now,we find the $H.C.F.$ of these differences: $123, 82,$ and $205$.$123 = 41 	imes 3$$82 = 41 	imes 2$$205 = 41 	imes 5$The $H.C.F.$ is $41$.Therefore,the greatest number is $41$.

Find the greatest number which will divide $3962, 4085$ and $4167$ leaving the same remainder in each case.

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