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 15, 713, 108, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 713, 108, 379 is 1
GCD(15, 713, 108, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 713, 108, 379 is 1
GCD(15, 713, 108, 379) = 1
Given Input numbers are 15, 713, 108, 379
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 15, 713, 108, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 713, 108, 379 is 1.
Therefore, GCD of numbers 15, 713, 108, 379 is 1
Given Input Data is 15, 713, 108, 379
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 713 is 23 x 31
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 379 is 379
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(15, 713) = 10695
GCD(15, 713) = ( 15 x 713 ) / 10695
GCD(15, 713) = 10695 / 10695
GCD(15, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 15, 713, 108, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 713, 108, 379?
GCD of 15, 713, 108, 379 is 1
2. Where do I get the detailed procedure to find GCD of 15, 713, 108, 379?
You can find a detailed procedure to find GCD of 15, 713, 108, 379 on our page.
3. How to find GCD of 15, 713, 108, 379 on a calculator?
You can find the GCD of 15, 713, 108, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.