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If (p=2^2\times3^2\times5) and (q=2^3\times3\times5), what is the HCF of (p) and (q)?
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Answer and explanation
Correct answer: (60)
Step 1: The common prime factors are (2), (3), and (5). Step 2: The smaller powers are (2^2), (3), and (5). Step 3: (4\times3\times5=60), so the HCF is (60).
Frequently asked questions
What is the correct answer to this question?
(60)
Why is this the correct answer?
Step 1: The common prime factors are (2), (3), and (5). Step 2: The smaller powers are (2^2), (3), and (5). Step 3: (4\times3\times5=60), so the HCF is (60).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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