Question

find the greatest number which divides 857 1070 and 1496 leaving 5 as remainder in each case​

Answer 1

Answer:

The required number is 213.

Step-by-step explanation:

Given Numbers are 857 , 1070 and 1496.

First, we subtract 5 from each number

857 - 5 = 852

1070 - 5 = 1065

1496 - 5 = 1491

Now, we find HCF (Highest Common Factor) or GCD (Greatest Common Divisior) of given number

852 = 2 × 2 × 3 × 71

1065 = 5 × 3 × 71

1491 = 3 × 7 × 71

So, HCF = 3 × 71 = 213

Therefore, The required number is 213.