# An inspector wishes to distribute 180 bat and 84 ball equally among boys . find the greatest number recieving the gift in this way

2
by simransk

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by simransk

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180 = 2*2*3*3*5

84 = 2*2*3*7

HCF = 2*2*3 = 12

So maximum number of boys receiving gifts is 12.

Each will receive

180/12 = 15 bats

84/12 = 7 balls

GCD(180,84)=12

12 is the greatest number recieveing gifts.