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If (a=2^3\times3^2\times11) and (b=2^2\times3\times5\times11^2), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 132
Step 1: The common prime factors are 2, 3, and 11. Step 2: The smaller powers are (2^2), (3^1), and (11^1). Step 3: (4\times3\times11=132), so the HCF is 132.
Frequently asked questions
What is the correct answer to this question?
132
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 11. Step 2: The smaller powers are (2^2), (3^1), and (11^1). Step 3: (4\times3\times11=132), so the HCF is 132.
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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