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If (p=2^2\times3\times5^2) and (q=2^3\times5\times7), what is the HCF of (p) and (q)?
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Answer and explanation
Correct answer: 20
Step 1: The common prime factors are 2 and 5. Step 2: The smaller powers are (2^2) and (5^1). Step 3: (2^2\times5=4\times5=20), so the HCF is 20.
Frequently asked questions
What is the correct answer to this question?
20
Why is this the correct answer?
Step 1: The common prime factors are 2 and 5. Step 2: The smaller powers are (2^2) and (5^1). Step 3: (2^2\times5=4\times5=20), so the HCF is 20.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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