Three reservoirs contains 595 litres, 850 litres and 680 litres of water respectively. Find the maximum capacity of the container which can measure the water of reservoir in exact number of times.
Answers
SOLUTION
GIVEN
Three reservoirs contains 595 litres, 850 litres and 680 litres of water respectively.
TO DETERMINE
The maximum capacity of the container which can measure the water of reservoir in exact number of times.
EVALUATION
Here it is given that three reservoirs contains 595 litres, 850 litres and 680 litres of water respectively.
We have to find the maximum capacity of the container which can measure the water of reservoir in exact number of times.
The required maximum capacity of the container
= HCF of 595 litres, 850 litres and 680 litres
Now
595 = 5 × 7 × 17
850 = 2 × 5 × 5 × 17
680 = 2 × 2 × 2 × 5 × 17
So HCF = 5 × 17 = 85
Hence the required required maximum capacity of the container
= HCF of 595 litres, 850 litres and 680 litres
= 85 litres
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