Two tankers contain 616 litres and 32 litres of petrol respectively. Find the maximum capacity of container...

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Two tankers contain 616 litres and 32 litres of petrol respectively. Find the maximum capacity of container which can measure the petrol of either tanker in exact number of times.


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Salim Ahmed Kawsar

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Solution : 

A container can measure 616 liters of petrol an exact number of times if its capacity in liters is a divisor of 616. Also to measure 32 liters of petrol the capacity in liters must also be divisor of 32.
Therefore , the maximum capacity of the container is the GCF of 616 and 32 in liters. 
(use any method to find GCF) 

Let us use Euclid’s algorithm, to find the
HCF.
616 = 32 x 19 + 8
32 = 8 x 4 + 0

So the GCF of 616 and 32 is 8.
So the capacity of the container = 8 liters.

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