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If (a=2^8\times3^5\times17^2) and (b=2^6\times3^7\times5^2\times17), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 264384
Step 1: The common prime factors are 2, 3, and 17. Step 2: The smaller powers are (2^6), (3^5), and (17^1). Step 3: (64\times243\times17=264384), so the HCF is 264384.
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What is the correct answer to this question?
264384
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 17. Step 2: The smaller powers are (2^6), (3^5), and (17^1). Step 3: (64\times243\times17=264384), so the HCF is 264384.
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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