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If (a=2^3 \times 3^2) and (b=2^2 \times 3^4), what will be the exponent of (3) in the HCF of (a) and (b)?
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Answer and explanation
Correct answer: (2)
Step 1: In HCF, take the smaller exponent of common prime factors. Step 2: The exponents of (3) are (2) and (4), so the smaller one is (2). Step 3: For HCF, always choose the minimum exponent.
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
Step 1: In HCF, take the smaller exponent of common prime factors. Step 2: The exponents of (3) are (2) and (4), so the smaller one is (2). Step 3: For HCF, always choose the minimum exponent.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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