GCD of 774, 675, 25, 879 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 774, 675, 25, 879 i.e. 1 largest integer that divides all the numbers equally.

GCD of 774, 675, 25, 879 is 1

GCD(774, 675, 25, 879) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 774, 675, 25, 879 is 1

GCD(774, 675, 25, 879) = 1

GCD of 774,675,25,879 Calculator

GCDof 774,675,25,879 is 1

Given Input numbers are 774, 675, 25, 879

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

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

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 879

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

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 774, 675, 25, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 675, 25, 879 is 1.

Therefore, GCD of numbers 774, 675, 25, 879 is 1

Finding GCD of 774, 675, 25, 879 using Prime Factorization

Given Input Data is 774, 675, 25, 879

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

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

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 879 is 3 x 293

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

Finding GCD of 774, 675, 25, 879 using LCM Formula

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(774, 675) = 58050

GCD(774, 675) = ( 774 x 675 ) / 58050

GCD(774, 675) = 522450 / 58050

GCD(774, 675) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 25

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

LCM(9, 25) = 225

GCD(9, 25) = ( 9 x 25 ) / 225

GCD(9, 25) = 225 / 225

GCD(9, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 774, 675, 25, 879 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 774, 675, 25, 879

1. What is the GCD of 774, 675, 25, 879?

GCD of 774, 675, 25, 879 is 1


2. Where do I get the detailed procedure to find GCD of 774, 675, 25, 879?

You can find a detailed procedure to find GCD of 774, 675, 25, 879 on our page.


3. How to find GCD of 774, 675, 25, 879 on a calculator?

You can find the GCD of 774, 675, 25, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.