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What is the relationship between HCF and LCM of two numbers a and b?

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Question: What is the relationship between HCF and LCM of two numbers a and b?

Options:

  1. HCF = a + b
  2. HCF * LCM = a * b
  3. HCF + LCM = a * b
  4. HCF - LCM = a - b

Correct Answer: HCF * LCM = a * b

Solution: 

The relationship is HCF * LCM = a * b, which holds for any two integers a and b.

What is the relationship between HCF and LCM of two numbers a and b?

Practice Questions

Q1
What is the relationship between HCF and LCM of two numbers a and b?
  1. HCF = a + b
  2. HCF * LCM = a * b
  3. HCF + LCM = a * b
  4. HCF - LCM = a - b

Questions & Step-by-Step Solutions

What is the relationship between HCF and LCM of two numbers a and b?
Correct Answer: HCF * LCM = a * b
  • Step 1: Understand what HCF (Highest Common Factor) means. It is the largest number that divides both a and b without leaving a remainder.
  • Step 2: Understand what LCM (Lowest Common Multiple) means. It is the smallest number that both a and b can divide into without leaving a remainder.
  • Step 3: Know that for any two integers a and b, there is a special relationship between HCF and LCM.
  • Step 4: The relationship is expressed as: HCF * LCM = a * b.
  • Step 5: This means if you multiply the HCF of a and b by the LCM of a and b, you will get the product of a and b.
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