Which option correctly gives the HCF of (2^5\times3^2\times11) and (2^3\times3^4\times11^2)?
Answer and explanation
Correct answer: (2^3\times3^2\times11)
Step 1: HCF takes the smaller power of each common prime. Step 2: The smaller powers of (2), (3), and (11) are (3), (2), and (1), so HCF (=2^3\times3^2\times11). Step 3: Compare the powers for each base separately.
Frequently asked questions
What is the correct answer to this question?
(2^3\times3^2\times11)
Why is this the correct answer?
Step 1: HCF takes the smaller power of each common prime. Step 2: The smaller powers of (2), (3), and (11) are (3), (2), and (1), so HCF (=2^3\times3^2\times11). Step 3: Compare the powers for each base separately.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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