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 508, 596, 831, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 596, 831, 188 is 1
GCD(508, 596, 831, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 596, 831, 188 is 1
GCD(508, 596, 831, 188) = 1
Given Input numbers are 508, 596, 831, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 508, 596, 831, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 596, 831, 188 is 1.
Therefore, GCD of numbers 508, 596, 831, 188 is 1
Given Input Data is 508, 596, 831, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 831 is 3 x 277
Prime Factorization of 188 is 2 x 2 x 47
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(508, 596) = 75692
GCD(508, 596) = ( 508 x 596 ) / 75692
GCD(508, 596) = 302768 / 75692
GCD(508, 596) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 831) = 3324
GCD(4, 831) = ( 4 x 831 ) / 3324
GCD(4, 831) = 3324 / 3324
GCD(4, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 508, 596, 831, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 596, 831, 188?
GCD of 508, 596, 831, 188 is 1
2. Where do I get the detailed procedure to find GCD of 508, 596, 831, 188?
You can find a detailed procedure to find GCD of 508, 596, 831, 188 on our page.
3. How to find GCD of 508, 596, 831, 188 on a calculator?
You can find the GCD of 508, 596, 831, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.