Question

fruit merchant packed 176 oranges, 256 apples and 144 pears in boxes. He put equal number of fruits in each box. What is the maxi mum number of fruits that he can put into each box?

Answer 1

Answer:

The maximum number of fruits in each box is 16

Step-by-step explanation:

Given,

Number of oranges = 176,

Number of apples = 256,

Number of pears = 144,

∵ 176 = 2 × 2 × 2 × 2 × 11,

256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2,

144 = 2 × 2 × 2 × 2 × 3 × 3,

HCF(176, 256, 144) =  2 × 2 × 2 × 2 = 16,

Thus, if each box contains equal number of fruits,

Then the maximum number of fruits in each box is 16

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