0580/12 Feb/Mar 2024, Question 25: HCF and LCM
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
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The question, in short
Find two numbers greater than 6 whose HCF is 6 and LCM is 90.
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Solution · 2 marks
- 1Product of the two numbers = HCF × LCM = 6 × 90 = 540
- 2Both are multiples of 6 and factors of 90, greater than 6: 18 and 30
- 3Check: HCF(18, 30) = 6, LCM(18, 30) = 90
- 4The numbers are 18 and 30
Answer18, 30
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