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 564, 556, 939, 814 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 556, 939, 814 is 1
GCD(564, 556, 939, 814) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 556, 939, 814 is 1
GCD(564, 556, 939, 814) = 1
Given Input numbers are 564, 556, 939, 814
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Greatest Common Divisior
We found the divisors of 564, 556, 939, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 556, 939, 814 is 1.
Therefore, GCD of numbers 564, 556, 939, 814 is 1
Given Input Data is 564, 556, 939, 814
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 939 is 3 x 313
Prime Factorization of 814 is 2 x 11 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(564, 556) = 78396
GCD(564, 556) = ( 564 x 556 ) / 78396
GCD(564, 556) = 313584 / 78396
GCD(564, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 939) = 3756
GCD(4, 939) = ( 4 x 939 ) / 3756
GCD(4, 939) = 3756 / 3756
GCD(4, 939) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
GCD of 564, 556, 939, 814 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 556, 939, 814?
GCD of 564, 556, 939, 814 is 1
2. Where do I get the detailed procedure to find GCD of 564, 556, 939, 814?
You can find a detailed procedure to find GCD of 564, 556, 939, 814 on our page.
3. How to find GCD of 564, 556, 939, 814 on a calculator?
You can find the GCD of 564, 556, 939, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.