The HCF and LCM of two numbers are 131 and 8253 respectively . If one of the numbers is 917, fid the other.

Answer

To find the other number when the HCF and LCM of two numbers are given, we can use the relationship between HCF, LCM, and the two numbers. The formula is:

\[ \text{HCF} \times \text{LCM} = \text{Number 1} \times \text{Number 2} \]

Given:
- HCF = 131
- LCM = 8253
- One number (Number 1) = 917
- Let the other number (Number 2) be \( x \).

### Step 1: Write the formula
We start by writing the formula:
\[ \text{HCF} \times \text{LCM} = 917 \times x \]

### Step 2: Substitute the values
Now, substitute the values of HCF and LCM into the equation:
\[ 131 \times 8253 = 917 \times x \]

### Step 3: Calculate the left side
Now, calculate \( 131 \times 8253 \):
\[ 131 \times 8253 = 1081433 \]

### Step 4: Set up the equation
Now we have:
\[ 1081433 = 917 \times x \]

### Step 5: Solve for \( x \)
To find \( x \), divide both sides by 917:
\[ x = \frac{1081433}{917} \]

### Step 6: Calculate \( x \)
Now, perform the division:
\[ x = 1179 \]

### Conclusion
Thus, the other number is \( 1179 \).