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If (a=2^7\times3^4\times13^2) and (b=2^5\times3^6\times5^2\times13), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 323136
Step 1: The common prime factors are 2, 3, and 13. Step 2: The smaller powers are (2^5), (3^4), and (13^1). Step 3: (32\times81\times13=33696), so the correct HCF is 33696.
Frequently asked questions
What is the correct answer to this question?
323136
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 13. Step 2: The smaller powers are (2^5), (3^4), and (13^1). Step 3: (32\times81\times13=33696), so the correct HCF is 33696.
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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