GCD of 228, 106, 128, 116 Calculator

Given Input numbers are 228, 106, 128, 116

In the factoring method, we have to find the divisors of all numbers

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (228, 106, 128, 116) = 2.

Given numbers are 228, 106, 128, 116

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 106 are 2 x 53

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 228, 106, 128, 116 is 2.

Given numbers are 228, 106, 128, 116

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(228, 106) = 12084

GCD(228, 106) = ( 228 x 106 ) / 12084

= 228 / 106

= 228

Step2:

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

= 2 / 128

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 228, 106, 128, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 150, 718, 156
• GCD of 303, 217, 152, 247
• GCD of 389, 378, 891, 193
• GCD of 729, 391, 592, 584
• GCD of 229, 730, 253, 566

Given numbers are 228, 106, 128, 116
The greatest common divisor of numbers 228, 106, 128, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 106, 128, 116 is 2.

1. What is the GCD of 228, 106, 128, 116?

GCD of given numbers 228, 106, 128, 116 is 2

2. How to calculate the greatest common divisor of 228, 106, 128, 116?

We can find the highest common divisor of 228, 106, 128, 116 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 228, 106, 128, 116 i.e 2.

3. How can I use the GCD of 228, 106, 128, 116Calculator?

Out the numbers 228, 106, 128, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.