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If (a=2^5\times3^2\times11^2) and (b=2^3\times3^4\times5\times11), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 792
Step 1: The common prime factors are 2, 3, and 11. Step 2: The smaller powers are (2^3), (3^2), and (11^1). Step 3: (8\times9\times11=792), so the HCF is 792.
Frequently asked questions
What is the correct answer to this question?
792
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 11. Step 2: The smaller powers are (2^3), (3^2), and (11^1). Step 3: (8\times9\times11=792), so the HCF is 792.
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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