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If (a=2^7\times3^4\times5^3) and (b=2^4\times3^6\times7^2), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 1296
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 (3^4). Step 3: (2^4\times3^4=16\times81=1296), so the answer is 1296.
Frequently asked questions
What is the correct answer to this question?
1296
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 (3^4). Step 3: (2^4\times3^4=16\times81=1296), so the answer is 1296.
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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