Prime factor Venn diagram for the HCF and LCM of 36 and 60

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A Venn diagram of the prime factors of 36 and 60, with 2, 2 and 3 in the overlap, 3 in the 36 circle only and 5 in the 60 circle only — Two overlapping circles named 36 and 60, in a box with no universal set symbol, holding the prime factors of each number: 36 = 2 × 2 × 3 × 3 and 60 = 2 × 2 × 3 × 5. The factors they share, 2, 2 and 3, are in the overlap, the other 3 is in 36 only, and 5 is in 60 only. Students find the HCF and LCM of 36 and 60 from it.

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Answer key

n(ξ) = 5
n(36) = 4
n(60) = 4
n(36 ∩ 60) = 3
n(36 ∪ 60) = 5
36 only: 3
36 and 60: 2, 2, 3
60 only: 5
Neither: –

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