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If (A=2^{11}\times3^7\times5^3) and (B=2^8\times3^9\times7^4), which is the HCF of (A) and (B)?
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Answer and explanation
Correct answer: (2^8\times3^7)
Step 1: HCF uses the smaller powers of common prime factors only. Step 2: The common factors are 2 and 3, with smaller powers (2^8) and (3^7). Step 3: Therefore, the HCF is (2^8\times3^7).
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What is the correct answer to this question?
(2^8\times3^7)
Why is this the correct answer?
Step 1: HCF uses the smaller powers of common prime factors only. Step 2: The common factors are 2 and 3, with smaller powers (2^8) and (3^7). Step 3: Therefore, the HCF is (2^8\times3^7).
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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