Question

Find the HCF of the positive integers 180, 252 and 324 with the help of the division algorithm.

Answer 1

Answer: HCF of $180,252$ and $324$

First we have to find HCF of two number

$\therefore HCF$ of $180$ & $252$ is

$252=180\times 1+72$

$180=72\times 2+36$

$72=36\times 2+0$

Hence HCF is $36$

Now HCF of $36$ & $324$ is

$324=36\times 9+0$

$[HCF=36]$

Therefore HCF of $180,252$ & $324$

is $36$.