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 826, 819, 564, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 819, 564, 938 is 1
GCD(826, 819, 564, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 819, 564, 938 is 1
GCD(826, 819, 564, 938) = 1
Given Input numbers are 826, 819, 564, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
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 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 826, 819, 564, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 819, 564, 938 is 1.
Therefore, GCD of numbers 826, 819, 564, 938 is 1
Given Input Data is 826, 819, 564, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 938 is 2 x 7 x 67
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(826, 819) = 96642
GCD(826, 819) = ( 826 x 819 ) / 96642
GCD(826, 819) = 676494 / 96642
GCD(826, 819) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 564) = 3948
GCD(7, 564) = ( 7 x 564 ) / 3948
GCD(7, 564) = 3948 / 3948
GCD(7, 564) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 826, 819, 564, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 819, 564, 938?
GCD of 826, 819, 564, 938 is 1
2. Where do I get the detailed procedure to find GCD of 826, 819, 564, 938?
You can find a detailed procedure to find GCD of 826, 819, 564, 938 on our page.
3. How to find GCD of 826, 819, 564, 938 on a calculator?
You can find the GCD of 826, 819, 564, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.