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 596, 934, 13, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 596, 934, 13, 871 is 1
GCD(596, 934, 13, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 934, 13, 871 is 1
GCD(596, 934, 13, 871) = 1
Given Input numbers are 596, 934, 13, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 596, 934, 13, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 934, 13, 871 is 1.
Therefore, GCD of numbers 596, 934, 13, 871 is 1
Given Input Data is 596, 934, 13, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 934 is 2 x 467
Prime Factorization of 13 is 13
Prime Factorization of 871 is 13 x 67
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(596, 934) = 278332
GCD(596, 934) = ( 596 x 934 ) / 278332
GCD(596, 934) = 556664 / 278332
GCD(596, 934) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 596, 934, 13, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 934, 13, 871?
GCD of 596, 934, 13, 871 is 1
2. Where do I get the detailed procedure to find GCD of 596, 934, 13, 871?
You can find a detailed procedure to find GCD of 596, 934, 13, 871 on our page.
3. How to find GCD of 596, 934, 13, 871 on a calculator?
You can find the GCD of 596, 934, 13, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.