Question

HCF and LCM of $30$ and $50$.

Answer 1

Step 1: Find the H.C.F.

Use prime factorisation

$$\begin{gathered} 50=2\times 5\times 5 \\ 30=2\times 3\times 5 \end{gathered}$$

The common factor of $30$ and $50$ are $2$ and $5$

So, H.C.F. $=2\times 5$

$=10$

Step 2: Find the L.C.M.

L.C.M. can be obtained by prime factorising $30$and $50$ so,

$\begin{array}{cc}2& 30,50\\ 3& 15,25\\ 5& 5,25\\ 5& 1,5\\ & 1,1\end{array}$

L.C.M.$$\begin{gathered} =2\times 3\times 5\times 5 \\ =150 \end{gathered}$$

Hence, the L.C.M. and H.C.F. of $30$ and $50$ are $150$ and $10$ respectively.