Question

Find the HCF of the following pairs of numbers:

$120,168$

Answer 1

Here we need to find the Highest Common Factor of $120$ and $168$.

All the numbers that divide a number completely, i.e., without leaving any remainder, are called factors of that numbers.

First we have to find the factors of $120$ and $168$.

Factors of $120$ are $1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120.$

And Factors of $168$ are $1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168.$

Thus, we can observe that the highest common factor is $24$.

Therefore, HCF of $120$ and $168$ is $24$