If the HCF of (2160) and (3780) is found using prime factorisation, what is the correct value?
Answer and explanation
Correct answer: (540)
Step 1: (2160=2^4\times 3^3\times 5) and (3780=2^2\times 3^3\times 5\times 7). Step 2: For HCF, take the smaller exponents of common prime factors, so (2^2\times 3^3\times 5=540). Step 3: In such questions, carefully choose the smaller powers.
Frequently asked questions
What is the correct answer to this question?
(540)
Why is this the correct answer?
Step 1: (2160=2^4\times 3^3\times 5) and (3780=2^2\times 3^3\times 5\times 7). Step 2: For HCF, take the smaller exponents of common prime factors, so (2^2\times 3^3\times 5=540). Step 3: In such questions, carefully choose the smaller powers.
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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