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If (a=2^3\times3\times7) and (b=2^2\times3^2\times7), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 84
Step 1: The common prime factors are 2, 3, and 7. Step 2: The smaller powers are (2^2), (3^1), and (7^1), so (4\times3\times7=84). Step 3: HCF uses smaller powers.
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What is the correct answer to this question?
84
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 7. Step 2: The smaller powers are (2^2), (3^1), and (7^1), so (4\times3\times7=84). Step 3: HCF uses smaller powers.
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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