Question

Their are three heaps of wheat weighing 144 kg, 204 kg ,120 kg . What is the minimum capacity of a their are bag so that the wheat of each heap can be packed in exact number of bags.

Answer 1

Answer:

12

Step-by-step explanation:

The Highest Common Factor will give us the answer

120=2\times 2\times 3\times 2\times 5120=2×2×3×2×5

144=2\times 2\times 3\times 2\times 2\times 3144=2×2×3×2×2×3

204=2\times 2\times 3\times 17204=2×2×3×17

The HCF is 2\times 2\times 3=122×2×3=12

Hence, 12 kg is the required mass that is needed so that each rice heap occupies the same number of bags.