Question

1. Find the H.C.F. of the following numbers using prime factorization method:

(viii) $66,102,138$

Answer 1

First, do the prime factorization of the given numbers,

$$\begin{gathered} 66=2\times 3\times 11 \\ 102=2\times 3\times 17 \\ 138=2\times 3\times 23 \end{gathered}$$

We can see the common factors $=2\times 3$

So the H.C.F. of $66,102,138$ is $6$