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If (a=2^8\times3^5\times5^2) and (b=2^5\times3^7\times7^3), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 7776
Step 1: For HCF, take the smaller powers of common prime factors only. Step 2: The common factors are 2 and 3, with smaller powers (2^5) and (3^5). Step 3: (32\times243=7776), so the answer is 7776.
Frequently asked questions
What is the correct answer to this question?
7776
Why is this the correct answer?
Step 1: For HCF, take the smaller powers of common prime factors only. Step 2: The common factors are 2 and 3, with smaller powers (2^5) and (3^5). Step 3: (32\times243=7776), so the answer is 7776.
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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