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4MA1/1H Jun 2022, Question 3: HCF and LCM

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks

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The question, in short

Find the HCF of 56 and 84, and the LCM of 60 and 72, showing working for each.

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Part (a) · 2 marks

Find the highest common factor of 56 and 84, showing your working clearly.

  1. 156 = 2 × 2 × 2 × 7
  2. 284 = 2 × 2 × 3 × 7
  3. 3Common prime factors: 2 × 2 × 7
  4. 42 × 2 × 7 = 28

Answer28

Part (b) · 2 marks

Find the lowest common multiple of 60 and 72, showing your working clearly.

  1. 160 = 2 × 2 × 3 × 5
  2. 272 = 2 × 2 × 2 × 3 × 3
  3. 3LCM = 2 × 2 × 2 × 3 × 3 × 5
  4. 42 × 2 × 2 × 3 × 3 × 5 = 360

Answer360

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