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 238, 874, 904, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 874, 904, 879 is 1
GCD(238, 874, 904, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 874, 904, 879 is 1
GCD(238, 874, 904, 879) = 1
Given Input numbers are 238, 874, 904, 879
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
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 238, 874, 904, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 874, 904, 879 is 1.
Therefore, GCD of numbers 238, 874, 904, 879 is 1
Given Input Data is 238, 874, 904, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 879 is 3 x 293
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(238, 874) = 104006
GCD(238, 874) = ( 238 x 874 ) / 104006
GCD(238, 874) = 208012 / 104006
GCD(238, 874) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
GCD(2, 904) = 1808 / 904
GCD(2, 904) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 879) = 1758
GCD(2, 879) = ( 2 x 879 ) / 1758
GCD(2, 879) = 1758 / 1758
GCD(2, 879) = 1
GCD of 238, 874, 904, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 874, 904, 879?
GCD of 238, 874, 904, 879 is 1
2. Where do I get the detailed procedure to find GCD of 238, 874, 904, 879?
You can find a detailed procedure to find GCD of 238, 874, 904, 879 on our page.
3. How to find GCD of 238, 874, 904, 879 on a calculator?
You can find the GCD of 238, 874, 904, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.