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If the HCF of (2^3\times3\times5^2), (2^2\times3^4\times5), and (2^5\times3^2) is found, what will it be?
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Answer and explanation
Correct answer: (2^2\times3)
Step 1: HCF includes only primes common to all three numbers. Step 2: (2) and (3) are common, but (5) is not present in the third number; the smallest powers are (2^2) and (3). Step 3: Do not include a prime that is not in every number.
Frequently asked questions
What is the correct answer to this question?
(2^2\times3)
Why is this the correct answer?
Step 1: HCF includes only primes common to all three numbers. Step 2: (2) and (3) are common, but (5) is not present in the third number; the smallest powers are (2^2) and (3). Step 3: Do not include a prime that is not in every number.
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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