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, 768, 568, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 768, 568, 339 is 1
GCD(13, 768, 568, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 768, 568, 339 is 1
GCD(13, 768, 568, 339) = 1
Given Input numbers are 13, 768, 568, 339
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 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 13, 768, 568, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 768, 568, 339 is 1.
Therefore, GCD of numbers 13, 768, 568, 339 is 1
Given Input Data is 13, 768, 568, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 339 is 3 x 113
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, 768) = 9984
GCD(13, 768) = ( 13 x 768 ) / 9984
GCD(13, 768) = 9984 / 9984
GCD(13, 768) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 13, 768, 568, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 768, 568, 339?
GCD of 13, 768, 568, 339 is 1
2. Where do I get the detailed procedure to find GCD of 13, 768, 568, 339?
You can find a detailed procedure to find GCD of 13, 768, 568, 339 on our page.
3. How to find GCD of 13, 768, 568, 339 on a calculator?
You can find the GCD of 13, 768, 568, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.