If (a=2^6\times3^7\times7) and (b=2^9\times3^4\times7^5), what is the power of 7 in the HCF of (a) and (b)?

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Answer and explanation

Correct answer: 1

Step 1: In HCF, take the smaller power of the common prime. Step 2: The powers of 7 are 1 and 5. Step 3: The smaller power is 1, so the answer is 1.

What is the correct answer to this question?

1

Why is this the correct answer?

Step 1: In HCF, take the smaller power of the common prime. Step 2: The powers of 7 are 1 and 5. Step 3: The smaller power is 1, so the answer is 1.

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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