Manoj has 200 litres of Oil A and 274 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum volume (in litres) of each container that Manoj uses, so that all the oil that Manoj has, of both the types, can be poured into these containers?
Given:
Oil A = 200 L
Oil B = 274 L
Identical containers, each holds only one type, all completely filled.
Find the maximum container volume so both quantities are exactly divisible.
Solution:
gcd(200,274) = 2
Hence, the maximum volume of each container = 2 litres.
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