GCD of 675, 879, 22, 774 Calculator

Given Input numbers are 675, 879, 22, 774

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 22

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

1, 2, 11, 22

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 675, 879, 22, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 879, 22, 774 is 1.

Therefore, GCD of numbers 675, 879, 22, 774 is 1

Given Input Data is 675, 879, 22, 774

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 879 is 3 x 293

Prime Factorization of 22 is 2 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(675, 879) = 197775

GCD(675, 879) = ( 675 x 879 ) / 197775

GCD(675, 879) = 593325 / 197775

GCD(675, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 675, 879, 22, 774 is 1

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1. What is the GCD of 675, 879, 22, 774?

GCD of 675, 879, 22, 774 is 1

2. Where do I get the detailed procedure to find GCD of 675, 879, 22, 774?

You can find a detailed procedure to find GCD of 675, 879, 22, 774 on our page.

3. How to find GCD of 675, 879, 22, 774 on a calculator?

You can find the GCD of 675, 879, 22, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.