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If (a=2^5\times3^4\times5^2) and (b=2^3\times3^6\times7^2), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 648
Step 1: For HCF, take the smaller powers of only common prime factors. Step 2: The common factors are 2 and 3, with smaller powers (2^3) and (3^4). Step 3: (2^3\times3^4=8\times81=648), so the answer is 648.
Frequently asked questions
What is the correct answer to this question?
648
Why is this the correct answer?
Step 1: For HCF, take the smaller powers of only common prime factors. Step 2: The common factors are 2 and 3, with smaller powers (2^3) and (3^4). Step 3: (2^3\times3^4=8\times81=648), so the answer is 648.
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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