Two tankers contain 680 liters and 850 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both tankers in exact number of times.
Given,
Total number of tankers = 2
first tanker contains 680 liters
second tanker contains 850 liters
we have to find,
the maximum capacity of a container which can measure the diesel of both tankers
which means we have to find the HCF (Highest common factor)
lets find the factors for 680 and 850
680 = 2*2*2*5*17
850 = 2*5*5*17
HCF = 2*5*17 = 170
So, 170liters container is common for 680liters tanker and 850 liters tanker to fill the tankers in exact number of times
170 *4 = 680
hence to fill 680 liters tankers, 4 times of 170liters container be used
170 * 5 = 850
hence to fill 850 liters tankers, 5 times of 170 liters container be used.
Given,
Total number of tankers = 2
first tanker contains 680 liters
second tanker contains 850 liters
we have to find,
the maximum capacity of a container which can measure the diesel of both tankers
which means we have to find the HCF (Highest common factor)
lets find the factors for 680 and 850
680 = 2*2*2*5*17
850 = 2*5*5*17
HCF = 2*5*17 = 170
So, 170liters container is common for 680liters tanker and 850 liters tanker to fill the tankers in exact number of times
170 *4 = 680
hence to fill 680 liters tankers, 4 times of 170liters container be used
170 * 5 = 850
hence to fill 850 liters tankers, 5 times of 170 liters container be used.
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