Question

HCF of two co-prime numbers is…………………………………

Answer 1

Hint: HCF refers to the highest common factor that is the greater number which can divide both numbers whose factors we are evaluating. Two integers are said to be coprime if the only positive integer which can divide both of them is 1, use this concept to think of the solution.

Complete step-by-step answer:

In number theory, two integers’ p and q are said to be relatively prime, mutually prime, or coprime if the only positive integer that divides both of them is 1. Consequently, any prime number that divides one does not divide the other. This is equivalent to their greatest common divisor being 1.
For example 2 and 3 are the prime number and the factors of these numbers are either 1 or itself.
So both the prime numbers are divided by 1 so these numbers are called co-prime numbers.
And the greatest common divisor is 1.
So the H.C.F of two co-prime numbers is 1.
Hence option (A) is correct.

Note: Whenever we face such types of problems the key concept is simply to have the understanding of HCF and co-prime numbers, as these theoretical questions can easily be solved without making any mistakes using the definitions concept only.