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If (a=2^6\times3^5\times5^3) and (b=2^4\times3^7\times7^2), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 3888
Step 1: For HCF, take the smaller powers of common prime factors. Step 2: The common factors are 2 and 3, with smaller powers (2^4) and (3^5). Step 3: (2^4\times3^5=16\times243=3888), so the answer is 3888.
Frequently asked questions
What is the correct answer to this question?
3888
Why is this the correct answer?
Step 1: For HCF, take the smaller powers of common prime factors. Step 2: The common factors are 2 and 3, with smaller powers (2^4) and (3^5). Step 3: (2^4\times3^5=16\times243=3888), so the answer is 3888.
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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