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If (A=2^8\times3^4\times5^2) and (B=2^5\times3^6\times7), what is the HCF of (A) and (B)?
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Answer and explanation
Correct answer: (2^5\times3^4)
Step 1: HCF uses only common prime factors. Step 2: The common factors are 2 and 3; the smaller powers are (2^5) and (3^4). Step 3: Therefore, the HCF is (2^5\times3^4).
Frequently asked questions
What is the correct answer to this question?
(2^5\times3^4)
Why is this the correct answer?
Step 1: HCF uses only common prime factors. Step 2: The common factors are 2 and 3; the smaller powers are (2^5) and (3^4). Step 3: Therefore, the HCF is (2^5\times3^4).
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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