GCD of 28, 76, 51, 22 Calculator

Given Input numbers are 28, 76, 51, 22

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 28, 76, 51, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 76, 51, 22 is 1.

Therefore, GCD of numbers 28, 76, 51, 22 is 1

Given Input Data is 28, 76, 51, 22

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 22 is 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(28, 76) = 532

GCD(28, 76) = ( 28 x 76 ) / 532

GCD(28, 76) = 2128 / 532

GCD(28, 76) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

GCD of 28, 76, 51, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 80, 28, 29
• GCD of 73, 57, 80, 53
• GCD of 27, 31, 23, 10
• GCD of 79, 22, 90, 86
• GCD of 41, 63, 83, 38

1. What is the GCD of 28, 76, 51, 22?

GCD of 28, 76, 51, 22 is 1

2. Where do I get the detailed procedure to find GCD of 28, 76, 51, 22?

You can find a detailed procedure to find GCD of 28, 76, 51, 22 on our page.

3. How to find GCD of 28, 76, 51, 22 on a calculator?

You can find the GCD of 28, 76, 51, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.