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If (72=2^3\times3^2) and (120=2^3\times3\times5), what is the HCF of 72 and 120?
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Answer and explanation
Correct answer: 24
Step 1: The common prime factors are 2 and 3. Step 2: The smaller powers are (2^3) and (3^1), so (8\times3=24). Step 3: For HCF, take smaller powers of only common factors.
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What is the correct answer to this question?
24
Why is this the correct answer?
Step 1: The common prime factors are 2 and 3. Step 2: The smaller powers are (2^3) and (3^1), so (8\times3=24). Step 3: For HCF, take smaller powers of only common factors.
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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