Deepesh has 168 litres of Oil A and 234 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 Deepesh uses, so that all the oil that Deepesh has, of both the types, can be poured into these containers?
Given:
Total volume of Oil A = 168 litres
Total volume of Oil B = 234 litres
Formula used:
Maximum volume of each container = HCF (Highest Common Factor) of the two given volumes
Solution:
Find HCF of 168 and 234:
Prime factorization of 168 = 2 × 2 × 2 × 3 × 7
Prime factorization of 234 = 2 × 3 × 3 × 13
Common factors = 2 × 3
HCF = 6
∴ The maximum volume (in litres) of each container that Deepesh uses is 6 litres.
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