Question

Two tankers contain $760litres$ and$1140litres$ of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times

Answer 1

In this question we need to find a smaller number by which both the given quantities can be measured so we need to find the HCF of the given quantities.

$$\begin{gathered} 760\overline{)1140}\overline{)1} \\ \underline{-760} \\ 380\overline{)760}\overline{)2} \\ \underline{-760} \\ 0 \end{gathered}$$

So the HCF of the numbers is $380$

Hence we can measure the petrol of either tank by a container of capacity $380litres$