Question

find the largest number which divides 615and 963 leaving the remainder 6

Answer 1

The largest number will be 87.
Hope it helps

Answer 2

Hi.

Here is your answer---

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Let the Largest number which divides 615 and 963 be x , i.e., H.C.F. is x.

Given---
Remainder = 6

Thus,
 Multiples of 615 = 3 × 3 × 29
 Multiples of 957 = 3 × 11 × 29

 The Common multiples of both numbers is 3 and 29.

Thus, x = 3 × 29
          x = 87.

                           

Thus, the largest number which divides 615 and 963 is 87.

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Hope it helps.

Have a nice day.