Question

A book seller has 28 Kannada and 72 English books. The books are of the same size. These books are to be packed in separate bundles and each bundle must contain the same number of books. Find the least number of bundles which can be made and also the number of books in each bundle.

Answer 1

Number of Kannada books $=28$ Number of English books $=72$
We have to find the HCF of 28 and 72 by Euclid's lemma.
$72=(28\times 2)+16$
$28=(16\times 1)+12$
$16=(12\times 1)+04$
$12=(4\times 3)+0$
$\therefore$ HCF of 28 and $72=4$ $\therefore$ Each bundle contains 4 books.
No. of bundles of Kannada books $=\frac{28}{4}=7$, No. of bundles of English books $=\frac{72}{4}=18$