Answer:
To find the Greatest Common Divisor (GCD) of 72, 96, and 300, you can use the method of prime factorization:
1. **Prime Factorization**:
- 72 = 2^3 * 3^2
- 96 = 2^5 * 3
- 300 = 2^2 * 3 * 5^2
2. **Identify Common Factors**:
- Look for common prime factors among the numbers: 2 and 3 are common factors.
3. **Determine the GCD**:
- The GCD is the product of the lowest powers of the common prime factors present in all the numbers.
- In this case, the common factors are 2 and 3. The lowest powers are 2^1 and 3^1.
- Therefore, GCD(72, 96, 300) = 2^1 * 3^1 = 2 * 3 = 6
Thus, the Greatest Common Divisor (GCD) of 72, 96, and 300 is 6.
