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, 723, 77, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 723, 77, 309 is 1
GCD(518, 723, 77, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 723, 77, 309 is 1
GCD(518, 723, 77, 309) = 1
Given Input numbers are 518, 723, 77, 309
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 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 518, 723, 77, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 723, 77, 309 is 1.
Therefore, GCD of numbers 518, 723, 77, 309 is 1
Given Input Data is 518, 723, 77, 309
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 723 is 3 x 241
Prime Factorization of 77 is 7 x 11
Prime Factorization of 309 is 3 x 103
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, 723) = 374514
GCD(518, 723) = ( 518 x 723 ) / 374514
GCD(518, 723) = 374514 / 374514
GCD(518, 723) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 518, 723, 77, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 723, 77, 309?
GCD of 518, 723, 77, 309 is 1
2. Where do I get the detailed procedure to find GCD of 518, 723, 77, 309?
You can find a detailed procedure to find GCD of 518, 723, 77, 309 on our page.
3. How to find GCD of 518, 723, 77, 309 on a calculator?
You can find the GCD of 518, 723, 77, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.