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If (a=2^4\times3^3\times13) and (b=2^2\times3\times5\times13^2), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 156
Step 1: The common prime factors are 2, 3, and 13. Step 2: The smaller powers are (2^2), (3^1), and (13^1). Step 3: (4\times3\times13=156), so the HCF is 156.
Frequently asked questions
What is the correct answer to this question?
156
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 13. Step 2: The smaller powers are (2^2), (3^1), and (13^1). Step 3: (4\times3\times13=156), so the HCF is 156.
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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