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, 596, 403, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 596, 403, 842 is 1
GCD(518, 596, 403, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 596, 403, 842 is 1
GCD(518, 596, 403, 842) = 1
Given Input numbers are 518, 596, 403, 842
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 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 518, 596, 403, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 596, 403, 842 is 1.
Therefore, GCD of numbers 518, 596, 403, 842 is 1
Given Input Data is 518, 596, 403, 842
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 596 is 2 x 2 x 149
Prime Factorization of 403 is 13 x 31
Prime Factorization of 842 is 2 x 421
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, 596) = 154364
GCD(518, 596) = ( 518 x 596 ) / 154364
GCD(518, 596) = 308728 / 154364
GCD(518, 596) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
GCD(2, 403) = 806 / 806
GCD(2, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 518, 596, 403, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 596, 403, 842?
GCD of 518, 596, 403, 842 is 1
2. Where do I get the detailed procedure to find GCD of 518, 596, 403, 842?
You can find a detailed procedure to find GCD of 518, 596, 403, 842 on our page.
3. How to find GCD of 518, 596, 403, 842 on a calculator?
You can find the GCD of 518, 596, 403, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.