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If (a=2^9\times3^6\times5^4) and (b=2^6\times3^8\times7^3), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 46656
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 (2^6) and (3^6). Step 3: (64\times729=46656), so the answer is 46656.
Frequently asked questions
What is the correct answer to this question?
46656
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 (2^6) and (3^6). Step 3: (64\times729=46656), so the answer is 46656.
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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