Question

Find the HCF of the following numbers: $38,57,114$.

Answer 1

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

So $38=2\times 19$

$57=3\times 19$

$114=2\times 3\times 19$

The common prime factor of $38,57,114$ is only $19$.

Hence the HCF is $19$.