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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 10
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If the HCF of two numbers is (12) and their LCM is (420), which pair can be such numbers?

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Answer and explanation

Correct answer: No such pair is possible

Step 1: The HCF must divide the LCM. Step 2: (420) is not exactly divisible by (12), so no such pair of whole numbers is possible. Step 3: Check this necessary condition before trying pairs.

Related tags

Real-NumbersHcf-Lcm-Validity

Frequently asked questions

What is the correct answer to this question?

No such pair is possible

Why is this the correct answer?

Step 1: The HCF must divide the LCM. Step 2: (420) is not exactly divisible by (12), so no such pair of whole numbers is possible. Step 3: Check this necessary condition before trying pairs.

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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  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
  2. 2What is the HCF of (18) and (24) using prime factorisation?
  3. 3What is the LCM of (18) and (24) using prime factorisation?
  4. 4What is the HCF of (40) and (60)?
  5. 5What is the LCM of (40) and (60)?
  6. 6What will be the HCF of (45) and (75)?
  7. 7What will be the LCM of (45) and (75)?
  8. 8Which is the HCF of (32) and (48)?
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