Question

The greatest Number which can divide 1356,1868 and 2764 leaving the same remainder in each case is:

Answer 1

Required number = H.C.F of (1356 - 12), (1868 - 12) and (2764 - 12)

= H.C.F of 1344, 1856 and 2752 = 64.

hope it helps you

Answer 2

Answer: The greatest number which can divide all the above numbers leaving the same remainder in each case = 128.

Step-by-step explanation:

Since we have given that

There are three numbers : 1356, 1868 and 2764.

We need to find the greatest number which can divide all the above number leaving the same remainder in each case.

First we will find the difference of the above three numbers :

1868-1356 = 512

2764-1868 = 896

2764- 1356 = 1408

so, now, we will find the highest common factor of 512, 896 and 1408.

H.C.F. of 512, 896, and 1408 = 128.

Hence, the greatest number which can divide all the above numbers leaving the same remainder in each case = 128.