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, 232, 517, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 232, 517, 139 is 1
GCD(13, 232, 517, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 232, 517, 139 is 1
GCD(13, 232, 517, 139) = 1
Given Input numbers are 13, 232, 517, 139
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 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 13, 232, 517, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 232, 517, 139 is 1.
Therefore, GCD of numbers 13, 232, 517, 139 is 1
Given Input Data is 13, 232, 517, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 517 is 11 x 47
Prime Factorization of 139 is 139
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, 232) = 3016
GCD(13, 232) = ( 13 x 232 ) / 3016
GCD(13, 232) = 3016 / 3016
GCD(13, 232) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 13, 232, 517, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 232, 517, 139?
GCD of 13, 232, 517, 139 is 1
2. Where do I get the detailed procedure to find GCD of 13, 232, 517, 139?
You can find a detailed procedure to find GCD of 13, 232, 517, 139 on our page.
3. How to find GCD of 13, 232, 517, 139 on a calculator?
You can find the GCD of 13, 232, 517, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.