Question

A trader has three bundles of string $392m,308m,490m$ long. What is the greatest length of string that the bundle can be cut up into without any leftover string?

Answer 1

The greatest length of string$=HCF$ of $3$ bundle's length.
$\begin{array}{c}392=2\times 2\times 2\times 7\times 7\\ 308=2\times 2\times 7\times 11\\ 430=2\times 5\times 7\times 7\\ \therefore HCF=2\times 7=14\end{array}$