Question

# Two tankers contain $$850\ litres$$ and $$680\ litres$$ of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

Solution

## Clearly, the maximum capacity of the container is the $$HCF$$ of $$850$$ and $$680$$ in litres. So, Let us find the $$HCF$$ of $$850$$ and $$680$$ by Euclids algorithm.Clearly, $$HCF$$ of $$850$$ and $$680$$ is $$170$$.Hence, capacity of the container must be $$170$$ litres.Mathematics

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