Question

Identify whether the following numbers are co-prime or not: $27,50,42$

Answer 1

Identifying whether the numbers are co-prime or not

Co-prime numbers: Two numbers are said to be co-prime if $1$ is their only common factor i.e., the HCF of co-prime numbers is $1$.

First, we need to find the prime factorization of given numbers.

So,

$27=3\times 3\times 3$

$50=2\times 5\times 5$

$42=2\times 3\times 7$

There are no common factor in prime factorisation of $27,50,42$ other than $1$.

So the HCF of $27,50,42$ is $1$.

Hence, $27,50,42$ are co-prime numbers.