Answer :
To find the Highest Common Factor (H.C.F), also known as the Greatest Common Divisor (GCD), of two numbers, you want to find the largest number that divides both of them without leaving a remainder.
Let's go through the steps for each pair of numbers:
### For 18 and 24:
1. List the factors of 18:
- 1, 2, 3, 6, 9, 18
2. List the factors of 24:
- 1, 2, 3, 4, 6, 8, 12, 24
3. Find the common factors:
- The common factors of 18 and 24 are 1, 2, 3, and 6.
4. Identify the highest common factor:
- The largest of these common factors is 6.
Therefore, the H.C.F of 18 and 24 is 6.
### For 16 and 18:
1. List the factors of 16:
- 1, 2, 4, 8, 16
2. List the factors of 18:
- 1, 2, 3, 6, 9, 18
3. Find the common factors:
- The common factors of 16 and 18 are 1 and 2.
4. Identify the highest common factor:
- The largest of these common factors is 2.
Therefore, the H.C.F of 16 and 18 is 2.
To summarize:
- The H.C.F of 18 and 24 is 6.
- The H.C.F of 16 and 18 is 2.
Let's go through the steps for each pair of numbers:
### For 18 and 24:
1. List the factors of 18:
- 1, 2, 3, 6, 9, 18
2. List the factors of 24:
- 1, 2, 3, 4, 6, 8, 12, 24
3. Find the common factors:
- The common factors of 18 and 24 are 1, 2, 3, and 6.
4. Identify the highest common factor:
- The largest of these common factors is 6.
Therefore, the H.C.F of 18 and 24 is 6.
### For 16 and 18:
1. List the factors of 16:
- 1, 2, 4, 8, 16
2. List the factors of 18:
- 1, 2, 3, 6, 9, 18
3. Find the common factors:
- The common factors of 16 and 18 are 1 and 2.
4. Identify the highest common factor:
- The largest of these common factors is 2.
Therefore, the H.C.F of 16 and 18 is 2.
To summarize:
- The H.C.F of 18 and 24 is 6.
- The H.C.F of 16 and 18 is 2.
