Two tankers contain 80 litre and 650 litre of oil. Find the maximum capacity of a container which can measure the oil of both that tanker when used one exact number of time.

Given :

Two tankers contain 80 litre and 650 litre of oil.

To do :

We have to find the maximum capacity of a container which can measure the oil in two tankers the exact number of times.

Solution :

The maximum capacity of the container is the HCF of 80 and 650.

Prime factorisation of 80 and 650 is,

$80 = 2 \times 2 \times 2 \times 2 \times 5$

$650 = 2 \times 5 \times 5 \times 13$

HCF of 80 and 650 $= 2\times5 = 10$.

The maximum capacity of a container which can measure the oil in two tankers the exact number of times is 10 L. 

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Updated on: 10-Oct-2022

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