The GCD of 22 33 and 66
The GCD (Greatest Common Divisor) of 22, 33, and 66 is 11.
To find the greatest common divisor (GCD) of 22, 33, and 66, we can follow these steps:
Step 1: List the factors of each number:
- Factors of 22: 1, 2, 11, 22
- Factors of 33: 1, 3, 11, 33
- Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Step 2: Identify the common factors from the lists above:
The common factors of 22, 33, and 66 are 1, 11, and 22.
Step 3: Determine the largest of the common factors:
The largest common factor is 22.
Therefore, the GCD of 22, 33, and 66 is 22.
To find the Greatest Common Divisor (GCD) of 22, 33, and 66, we can use the method of prime factorization or the Euclidean algorithm. Let's use the prime factorization method:
Step 1: Prime factorize each number.
22 = 2 × 11
33 = 3 × 11
66 = 2 × 3 × 11
Step 2: Identify the common prime factors and their minimum exponent.
The only common prime factor among all three numbers is 11.
Step 3: Multiply the common prime factors.
11
Therefore, the GCD of 22, 33, and 66 is 11.