Question

Which of the following pair of numbers are co-prime numbers ?
(a) 88 and 187 (b) 52 and 81 (c) 35 and 39

Answer 1

88 = 11^1 x 2^3 187=11^1 x 17^1 Since 11 is a common factor, they're not coprime. 52 = 13^1 x 2^2 81 = 3^4 No common factor except 1, so they're coprime. 35 = 7^1 x 5^1 39 = 3^1 x 13^1 No common factor except 1, so they're also coprime.

Answer 2

Answer:

(b) 52 and 81

(c) 35 and 39

Option (b) and (c) are the pairs of co-prime numbers.

Solution:

If two numbers are said to be Co-prime, then both the numbers must be divided only by 1. They cannot be divided by any other number other than the number one.

Of the three given options, (b) 52 and 81 and (c) 35 and 39 are co-prime numbers.

This is because, 52 and 81 has only 1 factor in common, i.e. 1

Also, 35 and 39 has only 1 factor in common, i.e. 1.

88 and 187 has 11 as their common factor apart from one.

Hence, option (b) and option (c) are co-prime numbers.