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3. The principal of a school wishes to distribute 84 balls and 108 bats equally among a number of
boys. Find the greatest number of boys who will receive the gift in this way.​

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KuyaEngrgo

In the given problem, apply your knowledge in algebra and basic mathematics especially in solving world problem about Greatest Common Factor (GCF).

Given

84 balls and 108 batsequally among a number of boys

Problem

Find the greatest number of boys who will receive the gift in this way.

Solution

Solve for the GCF of 84 and 108, using Continuous Division

84 | 108

÷ 2 42 | 54

÷ 2 21 | 27

÷ 3 7 | 9

GCF = 2 × 2 × 3

GCF = 12

Thus, the greatest number of boys is 12.

Answer: 12

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