Question

A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?

Answer 1

We need to find the HCF or GCD that is Greatest Common Divisor

120=2×2×2×3×5

180=2×2×3×3×5

240=2×2×2×2×3×5

GCD=2×2×3×5=60

The greatest capacity = 60 liters

So the merchant needs to fill 60 liters of all types of oils

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