What is the HCF of 4p, 8pq and 12pq?
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Answer:
HCF = 4p
Step-by-step explanation:
Prime factorisation of the given are
4p = 2 × 2 × p = 2² × p
8pq = 2 × 2 × 2 × p × q = 2³ × p × q
12pq = 2 × 2 × 3 × p × q = 2² × 3 × p × q
∴ HCF of 4p, 8pq and 12pq = 2 × 2 × p = 2² × p = 4p
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