G.C.D. of 11,36and ,9 is

Options

A. 3
B. 9
C. 1
D. 0.108

Answer

To find the G.C.D. (Greatest Common Divisor) of the numbers 11, 36, and 9, we can follow these steps:

### Step 1: Identify the Numbers
We have the numbers:
- 11
- 36
- 9

### Step 2: Factor Each Number
Next, we need to find the factors of each number.

- **Factors of 11**: Since 11 is a prime number, its only factors are 1 and 11.

- **Factors of 36**:
- 36 can be factored as \( 2 \times 18 \)
- 18 can be factored as \( 2 \times 9 \)
- 9 can be factored as \( 3 \times 3 \)
- Therefore, the complete factorization of 36 is \( 2^2 \times 3^2 \).

- **Factors of 9**:
- 9 can be factored as \( 3 \times 3 \) or \( 3^2 \).

### Step 3: List the Common Factors
Now, we will list the common factors of the three numbers:
- The factors of 11 are: 1, 11
- The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
- The factors of 9 are: 1, 3, 9

### Step 4: Identify the Greatest Common Factor
Now, we look for the common factors among all three numbers:
- The common factors are: 1 (the only number that appears in all three lists).

### Step 5: Conclusion
The greatest common factor (G.C.D.) of 11, 36, and 9 is **1**.

### Final Answer
The G.C.D. of 11, 36, and 9 is **1**.

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