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, 639, 311, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 639, 311, 878 is 1
GCD(238, 639, 311, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 639, 311, 878 is 1
GCD(238, 639, 311, 878) = 1
Given Input numbers are 238, 639, 311, 878
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 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 238, 639, 311, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 639, 311, 878 is 1.
Therefore, GCD of numbers 238, 639, 311, 878 is 1
Given Input Data is 238, 639, 311, 878
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 639 is 3 x 3 x 71
Prime Factorization of 311 is 311
Prime Factorization of 878 is 2 x 439
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, 639) = 152082
GCD(238, 639) = ( 238 x 639 ) / 152082
GCD(238, 639) = 152082 / 152082
GCD(238, 639) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 238, 639, 311, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 639, 311, 878?
GCD of 238, 639, 311, 878 is 1
2. Where do I get the detailed procedure to find GCD of 238, 639, 311, 878?
You can find a detailed procedure to find GCD of 238, 639, 311, 878 on our page.
3. How to find GCD of 238, 639, 311, 878 on a calculator?
You can find the GCD of 238, 639, 311, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.