Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.
Solution:
We need to find H.C.F of 403, 434 and 465 to find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.
Let’s find the prime factors of 403, 434 and 465.
31 is the only common prime factor of 403, 434 and 465. Therefore, 31 is the H.C.F of 403, 434 and 465.
Therefore, 31 litres is the maximum capacity of a container that can measure the diesel of the three containers exact number of times.
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