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Find the HCF and LCM of $26, 65$ and $117$, using prime factorisation.
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$26= 13 \times 2$
$65=13 \times 5$
$117=13 \times 3 \times 3$
$\therefore HCF = 13$
$LCM = 13 \times 2 \times 3 \times 5 \times 3 = 1170$
$65=13 \times 5$
$117=13 \times 3 \times 3$
$\therefore HCF = 13$
$LCM = 13 \times 2 \times 3 \times 5 \times 3 = 1170$