(i) What is the HCF of two co-prime numbers?
(ii) Give an example of a pair of co-prime numbers, in which both numbers are composite.

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Solution

(i) Two natural numbers are co-primes if they do not have a common factor other than 1.
So the HCF of two co-prime numbers is 1.
Ex. 4 and 7 are co-prime numbers.

(ii) 8 and 15 both numbers are composite numbers.
$8 = 2 \times 2 \times 2$
$15 = 3 \times 5$
So we can see that they don’t have a common factor other than 1.
So 8 and 15 both are composite numbers and co-prime numbers also.

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