Question
Find the $HCF$ and $LCM$ of:$145, 232$
✓
Answer
The given numbers are $145$ and $232$.We have:
$\begin{array}{c|c}5&145\\\hline29&29\\\hline&1\end{array}$
$\begin{array}{c|c}2&232\\\hline2&116\\\hline2&58\\\hline29&29\\\hline&1\end{array}$
Now, we have:
$145=5\times29$
$232=2\times2\times2\times29$
$\therefore HCF = 29$
Also, $LCM =29\times2\times2\times2\times5=1160$
$\begin{array}{c|c}5&145\\\hline29&29\\\hline&1\end{array}$
$\begin{array}{c|c}2&232\\\hline2&116\\\hline2&58\\\hline29&29\\\hline&1\end{array}$
Now, we have:
$145=5\times29$
$232=2\times2\times2\times29$
$\therefore HCF = 29$
Also, $LCM =29\times2\times2\times2\times5=1160$
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