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If the prime factorisations of two numbers are (2^5\times3^2\times5) and (2^3\times3^4\times7), what will be their HCF?
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Answer and explanation
Correct answer: (2^3\times3^2)
Step 1: HCF uses only the common prime factors. Step 2: The common primes are (2) and (3), and the smaller powers are (2^3) and (3^2). Step 3: For HCF, always choose the smaller power of each common prime.
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What is the correct answer to this question?
(2^3\times3^2)
Why is this the correct answer?
Step 1: HCF uses only the common prime factors. Step 2: The common primes are (2) and (3), and the smaller powers are (2^3) and (3^2). Step 3: For HCF, always choose the smaller power of each common prime.
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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