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Example:

2 and 3 two relative prime number.

HCF of 2 and 3:

2 = 2 × 1

3 = 3 × 1

HCF is 1.

Because , HCF means highest common factor . no two prime numbers will have common factor greater than 1.

For eg , take two prime numbers 23 and 2,

they have one and only common factor , that is 1. It has no other common factor. Then we no need to bother about the highest one. since there is only one common factor