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If (a=2^4\times3^3\times5^2) and (b=2^2\times3^5\times7), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 108
Step 1: For HCF, take the smaller powers of only the common prime factors. Step 2: The common prime factors are 2 and 3, with smaller powers (2^2) and (3^3). Step 3: (2^2\times3^3=4\times27=108), so the answer is 108.
Frequently asked questions
What is the correct answer to this question?
108
Why is this the correct answer?
Step 1: For HCF, take the smaller powers of only the common prime factors. Step 2: The common prime factors are 2 and 3, with smaller powers (2^2) and (3^3). Step 3: (2^2\times3^3=4\times27=108), so the answer is 108.
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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