Question

The greatest number that will divide 990 and 1087 leaving remainder 10 and 9 respectively is
1. 62
2. 98
3. 78
4. 74

Answer 1

Correct Answer - Option 2 : 98

Calculation:

Here, 990 - 10 = 980

And, 1087 - 9 = 1078

Now, H.CF of 980 and 1078 is 98

∴ The greatest number that will divide 990 and 1087 leaving the remainder 10 and 9 is 98

The greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor.

It is also called the Greatest Common Measure(GCM) and Greatest Common Divisor(GCD).