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If the HCF of two numbers is (45) and their LCM is (1260), what is the correct statement about the existence of the two numbers?
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Answer and explanation
Correct answer: Such numbers are not possible
Step 1: The HCF must be an exact divisor of the LCM. Step 2: (1260) is not exactly divisible by (45), so such two whole numbers are not possible. Step 3: This quick check saves long calculations.
Frequently asked questions
What is the correct answer to this question?
Such numbers are not possible
Why is this the correct answer?
Step 1: The HCF must be an exact divisor of the LCM. Step 2: (1260) is not exactly divisible by (45), so such two whole numbers are not possible. Step 3: This quick check saves long calculations.
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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