If (108=2^2\times3^3) and (180=2^2\times3^2\times5), what is their HCF?
Answer and explanation
Correct answer: (36)
Step 1: The common prime factors are (2) and (3). Step 2: The smaller powers are (2^2) and (3^2). Step 3: (4\times9=36), so the HCF is (36).
Frequently asked questions
What is the correct answer to this question?
(36)
Why is this the correct answer?
Step 1: The common prime factors are (2) and (3). Step 2: The smaller powers are (2^2) and (3^2). Step 3: (4\times9=36), so the HCF is (36).
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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