Find the HCF of the numbers in each of the following, using the division method :
2241, 2324

Answer

To find the HCF (Highest Common Factor) of the numbers 2241 and 2324 using the division method, follow these steps:

### Step 1: Arrange the Numbers
We have two numbers: 2241 and 2324. Since we need to divide the larger number by the smaller number, we will arrange them as follows:
- Larger number: 2324
- Smaller number: 2241

### Step 2: Perform the Division
Now, we will divide the larger number (2324) by the smaller number (2241).

\[ 2324 \div 2241 = 1 \quad \text{(Quotient)} \]
\[ \text{Remainder} = 2324 - (2241 \times 1) = 2324 - 2241 = 83 \]

### Step 3: Repeat the Process
Now, we will take the previous divisor (2241) and divide it by the remainder (83).

\[ 2241 \div 83 = 27 \quad \text{(Quotient)} \]
\[ \text{Remainder} = 2241 - (83 \times 27) = 2241 - 2241 = 0 \]

### Step 4: Identify the HCF
Since we have reached a remainder of 0, the last divisor (83) is the HCF of the two numbers.

Thus, the HCF of 2241 and 2324 is **83**.

---