Two containers have 625 l and 850 l of diesel. Find the maximum capacity of a vessel which can measure the diesel in two containers, the exact number of times.

Given :

The capacity of two containers of diesel is 625 L and 850 L. 

To do :

We have to find the maximum capacity of a vessel which can measure the diesel in two containers the exact number of times.

Solution :

The maximum capacity of the vessel is the HCF of 625 and 850.

Prime factorisation of 625 and 850 is,

$625 = 5 \times 5 \times 5 \times 5$

$850 = 2 \times 5 \times 5 \times 17$

HCF of 625 and 850 $= 5\times5 = 25$.

The maximum capacity of a vessel which can measure the diesel in two containers the exact number of times is 25 L.

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Updated on: 10-Oct-2022

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