Rajesh has 156 litres of Oil A and 256 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 Rajesh uses, so that all the oil that Rajesh has, of both the types, can be poured into these containers?
Given:
Quantity of Oil A = 156 L
Quantity of Oil B = 256 L
Each container holds only one type of oil and must be completely filled.
All oil must be used.
Solution:
gcd(256,156) = gcd(156,100) = gcd(100,56) = gcd(56,44) = gcd(44,12) = gcd(12,8) =4
Hence, maximum container volume = 4 litres.
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