Primes, HCF and LCM - Highest Common Factor and Its Applications

Primes, HCF and LCM - Highest Common Factor and Its Applications

Secondary 1

A teacher has \(72\) pencils and \(96\) erasers. She uses all of them to make the greatest possible number of identical packs.

  1. How many packs can she make?

  2. How many pencils and erasers are in each pack?

  3. Explain why HCF is the appropriate method.

Solution:

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Answer:(a) \(24\). (b) \(3\) pencils, \(4\) erasers. (c) The number of packs must divide both quantities exactly. Since the greatest possible number is required, use the highest common factor.

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