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 18, 518, 316, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 518, 316, 317 is 1
GCD(18, 518, 316, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 518, 316, 317 is 1
GCD(18, 518, 316, 317) = 1
Given Input numbers are 18, 518, 316, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 18, 518, 316, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 518, 316, 317 is 1.
Therefore, GCD of numbers 18, 518, 316, 317 is 1
Given Input Data is 18, 518, 316, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 317 is 317
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(18, 518) = 4662
GCD(18, 518) = ( 18 x 518 ) / 4662
GCD(18, 518) = 9324 / 4662
GCD(18, 518) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
GCD(2, 316) = 632 / 316
GCD(2, 316) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
GCD(2, 317) = 634 / 634
GCD(2, 317) = 1
GCD of 18, 518, 316, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 518, 316, 317?
GCD of 18, 518, 316, 317 is 1
2. Where do I get the detailed procedure to find GCD of 18, 518, 316, 317?
You can find a detailed procedure to find GCD of 18, 518, 316, 317 on our page.
3. How to find GCD of 18, 518, 316, 317 on a calculator?
You can find the GCD of 18, 518, 316, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.