Question

Find H.C.F of three numbers $17,23$ and $29$ .

Answer 1

Find the H.C.F

H.C.F or the Highest Common Factor of two or more numbers is the greatest common factor that divides the numbers.

Using the Prime Factorization method, factors of $17,23$ and $29$ are:

$$\begin{gathered} 17=17\times 1 \\ 23=23\times 1 \\ 29=29\times 1 \end{gathered}$$

Since all the given numbers are prime.

$\therefore$The given numbers $17,23$ and $29$ have only one common factor i.e.$1$

Hence, the H.C.F of$17,23$, and $29$ is $1$