Find the HCF of the following numbers by prime factorisation method:
(e) 54, 126 and 144
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Answer:
18
Step-by-step explanation:
by factoring:
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
by prime factorization:
54 = 2 × 3 × 3 × 3
126 = 2 × 3 × 3 × 7
144 = 2 × 2 × 2 × 2 × 3 × 3
GCF(54, 126, 144)
= 2 × 3 × 3
= 18
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