Question

Which of the following are Coprime numbers ? a) 21,35 6) 19, 38 c) 8,50 d) 14,25 ​

Answer 1

Given:

Which of the following are Coprime numbers ?

a) 21,35 b) 19, 38 c) 8,50 d) 14,25 ​

ANSWER: Option (d) 14 and 25 are co-prime numbers.

Step-by-step solution:

Co - Prime Numbers:

• Two numbers are said to be co-prime when they have a common factor of 1. Two numbers are coprime when the only positive integer which divides both of them is 1.

Option (d) 14 and 25 are co-prime numbers.

Factors of 14: 1, 2, 7, 14

Factors of 25: 1, 5, 25

• The common factor of 14 and 25 is only 1. So they are co-prime numbers.

• For the given options, a) 21,35 b) 19, 38 c) 8,50, have the common factors of more than 1 so they are not co-prime numbers.

Hence, the required answer is an option (d) = 14, 25