Question

Find the HCF and LCM of
145, 232

Answer 1

The given numbers are 145 and 232.
We have:
$\begin{array}{l}5\overline{)145}\\ 29\overline{)29}\\ \text{1}\end{array}$ $\begin{array}{l}2\overline{)232}\\ 2\overline{)116}\\ 2\overline{)58}\\ 29\overline{)\text{29}}\\ \text{1}\end{array}$

Now, we have:

145 = 5 × 29
232 = 2 ×2 × 2 × 29

∴ HCF = 29
Also, LCM = 29 × 2 × 2 × 2 × 5 = 1160