Answer :
To find the Highest Common Factor (HCF) of two numbers, you can use an approach that involves breaking down each number into its factors and identifying the greatest number that appears in both lists of factors.
Here's how you can find the HCF of 12 and 84:
1. List the factors of each number:
- Factors of 12: To find the factors of 12, we identify all numbers that can evenly divide 12. These are 1, 2, 3, 4, 6, and 12.
- Factors of 84: Similarly, the factors of 84 are all numbers that can evenly divide 84. These are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
2. Identify the common factors:
- The common factors of 12 and 84, which are present in both lists, are 1, 2, 3, 4, 6, and 12.
3. Find the highest common factor:
- From the common factors, the highest one is 12.
Therefore, the Highest Common Factor (HCF) of 12 and 84 is 12.
Here's how you can find the HCF of 12 and 84:
1. List the factors of each number:
- Factors of 12: To find the factors of 12, we identify all numbers that can evenly divide 12. These are 1, 2, 3, 4, 6, and 12.
- Factors of 84: Similarly, the factors of 84 are all numbers that can evenly divide 84. These are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
2. Identify the common factors:
- The common factors of 12 and 84, which are present in both lists, are 1, 2, 3, 4, 6, and 12.
3. Find the highest common factor:
- From the common factors, the highest one is 12.
Therefore, the Highest Common Factor (HCF) of 12 and 84 is 12.
