Which of the following statements is true regarding HCF and LCM? (2023)

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Question: Which of the following statements is true regarding HCF and LCM? (2023)

Options:

Correct Answer: HCF and LCM can be equal

Exam Year: 2023

Solution:

HCF and LCM can be equal when both numbers are the same.

Which of the following statements is true regarding HCF and LCM? (2023)

Which of the following statements is true regarding HCF and LCM? (2023)

Step 1: Understand what HCF (Highest Common Factor) means. It is the largest number that divides two or more numbers without leaving a remainder.
Step 2: Understand what LCM (Lowest Common Multiple) means. It is the smallest number that is a multiple of two or more numbers.
Step 3: Consider two numbers, for example, 4 and 4. Since both numbers are the same, the HCF is 4 and the LCM is also 4.
Step 4: Realize that when both numbers are the same, the HCF and LCM will always be equal.
Step 5: Conclude that the statement 'HCF and LCM can be equal when both numbers are the same' is true.

No concepts available.