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 517, 859, 20, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 859, 20, 314 is 1
GCD(517, 859, 20, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 859, 20, 314 is 1
GCD(517, 859, 20, 314) = 1
Given Input numbers are 517, 859, 20, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 517, 859, 20, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 859, 20, 314 is 1.
Therefore, GCD of numbers 517, 859, 20, 314 is 1
Given Input Data is 517, 859, 20, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 859 is 859
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 314 is 2 x 157
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(517, 859) = 444103
GCD(517, 859) = ( 517 x 859 ) / 444103
GCD(517, 859) = 444103 / 444103
GCD(517, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 517, 859, 20, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 859, 20, 314?
GCD of 517, 859, 20, 314 is 1
2. Where do I get the detailed procedure to find GCD of 517, 859, 20, 314?
You can find a detailed procedure to find GCD of 517, 859, 20, 314 on our page.
3. How to find GCD of 517, 859, 20, 314 on a calculator?
You can find the GCD of 517, 859, 20, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.