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 516, 774, 389, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 774, 389, 835 is 1
GCD(516, 774, 389, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 774, 389, 835 is 1
GCD(516, 774, 389, 835) = 1
Given Input numbers are 516, 774, 389, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 516, 774, 389, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 774, 389, 835 is 1.
Therefore, GCD of numbers 516, 774, 389, 835 is 1
Given Input Data is 516, 774, 389, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 389 is 389
Prime Factorization of 835 is 5 x 167
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(516, 774) = 1548
GCD(516, 774) = ( 516 x 774 ) / 1548
GCD(516, 774) = 399384 / 1548
GCD(516, 774) = 258
Step2:
Here we consider the GCD from the above i.e. 258 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(258, 389) = 100362
GCD(258, 389) = ( 258 x 389 ) / 100362
GCD(258, 389) = 100362 / 100362
GCD(258, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 516, 774, 389, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 774, 389, 835?
GCD of 516, 774, 389, 835 is 1
2. Where do I get the detailed procedure to find GCD of 516, 774, 389, 835?
You can find a detailed procedure to find GCD of 516, 774, 389, 835 on our page.
3. How to find GCD of 516, 774, 389, 835 on a calculator?
You can find the GCD of 516, 774, 389, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.