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If (a=2^6\times3^3\times11^2) and (b=2^4\times3^5\times5^2\times11), what is the HCF of (a) and (b)?
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Answer and explanation
Correct answer: 4752
Step 1: The common prime factors are 2, 3, and 11. Step 2: The smaller powers are (2^4), (3^3), and (11^1). Step 3: (16\times27\times11=4752), so the HCF is 4752.
Frequently asked questions
What is the correct answer to this question?
4752
Why is this the correct answer?
Step 1: The common prime factors are 2, 3, and 11. Step 2: The smaller powers are (2^4), (3^3), and (11^1). Step 3: (16\times27\times11=4752), so the HCF is 4752.
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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