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If (x=2^4\times3\times5) and (y=2^2\times3^3\times5^2), what is the HCF of (x) and (y)?
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Answer and explanation
Correct answer: 60
Step 1: For HCF, take the smaller powers of common prime factors. Step 2: The smaller powers are (2^2), (3^1), and (5^1). Step 3: (4\times3\times5=60), so the HCF is 60.
Frequently asked questions
What is the correct answer to this question?
60
Why is this the correct answer?
Step 1: For HCF, take the smaller powers of common prime factors. Step 2: The smaller powers are (2^2), (3^1), and (5^1). Step 3: (4\times3\times5=60), so the HCF is 60.
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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