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If (a=2^5\times3^2\times5) and (b=2^3\times3\times5^2\times7), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 120
Step 1: For HCF, take the smaller powers of common prime factors. Step 2: The smaller powers are (2^3), (3^1), and (5^1). Step 3: (8\times3\times5=120), so the answer is 120.
Frequently asked questions
What is the correct answer to this question?
120
Why is this the correct answer?
Step 1: For HCF, take the smaller powers of common prime factors. Step 2: The smaller powers are (2^3), (3^1), and (5^1). Step 3: (8\times3\times5=120), so the answer is 120.
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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