Question

Find GCF and LCM of 45 and 60 using the prime factored form

Answer 1

Answer:

15 is the answer.

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Answer 2

Answer:

LCM(45, 60) = 180

GCF(45, 60) = 15

Step-by-step explanation:

The relation between GCF and LCM of 45 and 60 is given as,

LCM(45, 60) × GCF(45, 60) = Product of 45, 60

Prime factorization of 45 and 60 is given as, 45 = (3 × 3 × 5) = 32 × 51 and 60 = (2 × 2 × 3 × 5) = 22 × 31 × 51

LCM(45, 60) = 180

GCF(45, 60) = 15

LHS = LCM(45, 60) × GCF(45, 60) = 180 × 15 = 2700

RHS = Product of 45, 60 = 45 × 60 = 2700

⇒ LHS = RHS = 2700

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