Question

A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. what is the common remainder?

Answer 1

Answer: The greatest number would be 213 so as to get same remainder in each case.

Step-by-step explanation:

Since we have given that

The numbers are 7654, 8506, and 9997.

So, we will first out the difference between the above numbers:

8506-7654 = 852

9997-8506 = 1491

9997-7654 = 2343

So, we will find the H.C.F. of 852, 1491 and 2343, which is equal to 213.

Hence, the greatest number would be 213 so as to get same remainder in each case.