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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 10
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If the HCF of two numbers is (24) and their LCM is (1320), which statement about their existence is correct?

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Answer and explanation

Correct answer: Such whole numbers are possible

Step 1: For two whole numbers, the HCF must exactly divide the LCM. Step 2: (1320\div24=55), which is a whole number, so such numbers can exist. Step 3: For existence checks, test this divisibility condition first.

Related tags

Real-NumbersHcf-Lcm-Validity

Frequently asked questions

What is the correct answer to this question?

Such whole numbers are possible

Why is this the correct answer?

Step 1: For two whole numbers, the HCF must exactly divide the LCM. Step 2: (1320\div24=55), which is a whole number, so such numbers can exist. Step 3: For existence checks, test this divisibility condition first.

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)?
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  8. 8Which is the HCF of (32) and (48)?
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