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The prime factorisations of two numbers are (2^5\times3^3\times5^2) and (2^3\times3^5\times5\times11). What will be their HCF?
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Answer and explanation
Correct answer: (2^3\times3^3\times5)
Step 1: HCF contains only common prime factors. Step 2: The common primes are (2), (3), and (5), with smaller powers (2^3), (3^3), and (5). Step 3: Choose the smaller power for each prime base separately.
Frequently asked questions
What is the correct answer to this question?
(2^3\times3^3\times5)
Why is this the correct answer?
Step 1: HCF contains only common prime factors. Step 2: The common primes are (2), (3), and (5), with smaller powers (2^3), (3^3), and (5). Step 3: Choose the smaller power for each prime 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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