Find the HCF & LCM of 16 & 24?

Options

A. A) 8,48
B. B) 4,12
C. C) 2,24
D. D) 4,48

Answer

To find the HCF (Highest Common Factor) and LCM (Lowest Common Multiple) of the numbers 16 and 24, we can follow these steps:

### Step 1: Find the HCF of 16 and 24

1. **List the factors of each number**:
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

2. **Identify the common factors**:
- Common factors of 16 and 24: 1, 2, 4, 8

3. **Select the highest common factor**:
- The highest common factor (HCF) is 8.

### Step 2: Find the LCM of 16 and 24

1. **List the multiples of each number**:
- Multiples of 16: 16, 32, 48, 64, 80, ...
- Multiples of 24: 24, 48, 72, 96, ...

2. **Identify the common multiples**:
- Common multiples of 16 and 24: 48, 96, ...

3. **Select the lowest common multiple**:
- The lowest common multiple (LCM) is 48.

### Final Answer:
- HCF of 16 and 24 is **8**.
- LCM of 16 and 24 is **48**.

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