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 59, 979, 238, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 979, 238, 406 is 1
GCD(59, 979, 238, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 979, 238, 406 is 1
GCD(59, 979, 238, 406) = 1
Given Input numbers are 59, 979, 238, 406
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
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 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 59, 979, 238, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 979, 238, 406 is 1.
Therefore, GCD of numbers 59, 979, 238, 406 is 1
Given Input Data is 59, 979, 238, 406
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 979 is 11 x 89
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 406 is 2 x 7 x 29
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(59, 979) = 57761
GCD(59, 979) = ( 59 x 979 ) / 57761
GCD(59, 979) = 57761 / 57761
GCD(59, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 59, 979, 238, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 979, 238, 406?
GCD of 59, 979, 238, 406 is 1
2. Where do I get the detailed procedure to find GCD of 59, 979, 238, 406?
You can find a detailed procedure to find GCD of 59, 979, 238, 406 on our page.
3. How to find GCD of 59, 979, 238, 406 on a calculator?
You can find the GCD of 59, 979, 238, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.