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 28, 372, 779, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 372, 779, 831 is 1
GCD(28, 372, 779, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 372, 779, 831 is 1
GCD(28, 372, 779, 831) = 1
Given Input numbers are 28, 372, 779, 831
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 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 28, 372, 779, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 372, 779, 831 is 1.
Therefore, GCD of numbers 28, 372, 779, 831 is 1
Given Input Data is 28, 372, 779, 831
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 372 is 2 x 2 x 3 x 31
Prime Factorization of 779 is 19 x 41
Prime Factorization of 831 is 3 x 277
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, 372) = 2604
GCD(28, 372) = ( 28 x 372 ) / 2604
GCD(28, 372) = 10416 / 2604
GCD(28, 372) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 779) = 3116
GCD(4, 779) = ( 4 x 779 ) / 3116
GCD(4, 779) = 3116 / 3116
GCD(4, 779) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 28, 372, 779, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 372, 779, 831?
GCD of 28, 372, 779, 831 is 1
2. Where do I get the detailed procedure to find GCD of 28, 372, 779, 831?
You can find a detailed procedure to find GCD of 28, 372, 779, 831 on our page.
3. How to find GCD of 28, 372, 779, 831 on a calculator?
You can find the GCD of 28, 372, 779, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.