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 13, 596, 269, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 596, 269, 307 is 1
GCD(13, 596, 269, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 596, 269, 307 is 1
GCD(13, 596, 269, 307) = 1
Given Input numbers are 13, 596, 269, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 13, 596, 269, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 596, 269, 307 is 1.
Therefore, GCD of numbers 13, 596, 269, 307 is 1
Given Input Data is 13, 596, 269, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 269 is 269
Prime Factorization of 307 is 307
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(13, 596) = 7748
GCD(13, 596) = ( 13 x 596 ) / 7748
GCD(13, 596) = 7748 / 7748
GCD(13, 596) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 13, 596, 269, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 596, 269, 307?
GCD of 13, 596, 269, 307 is 1
2. Where do I get the detailed procedure to find GCD of 13, 596, 269, 307?
You can find a detailed procedure to find GCD of 13, 596, 269, 307 on our page.
3. How to find GCD of 13, 596, 269, 307 on a calculator?
You can find the GCD of 13, 596, 269, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.