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 518, 908, 441, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 908, 441, 518 is 1
GCD(518, 908, 441, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 908, 441, 518 is 1
GCD(518, 908, 441, 518) = 1
Given Input numbers are 518, 908, 441, 518
To find the GCD of numbers using factoring list out all the divisors of each number
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 518, 908, 441, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 908, 441, 518 is 1.
Therefore, GCD of numbers 518, 908, 441, 518 is 1
Given Input Data is 518, 908, 441, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 518 is 2 x 7 x 37
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(518, 908) = 235172
GCD(518, 908) = ( 518 x 908 ) / 235172
GCD(518, 908) = 470344 / 235172
GCD(518, 908) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
GCD(2, 441) = 882 / 882
GCD(2, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 518, 908, 441, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 908, 441, 518?
GCD of 518, 908, 441, 518 is 1
2. Where do I get the detailed procedure to find GCD of 518, 908, 441, 518?
You can find a detailed procedure to find GCD of 518, 908, 441, 518 on our page.
3. How to find GCD of 518, 908, 441, 518 on a calculator?
You can find the GCD of 518, 908, 441, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.