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, 826, 93, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 826, 93, 279 is 1
GCD(564, 826, 93, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 826, 93, 279 is 1
GCD(564, 826, 93, 279) = 1
Given Input numbers are 564, 826, 93, 279
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 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 564, 826, 93, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 826, 93, 279 is 1.
Therefore, GCD of numbers 564, 826, 93, 279 is 1
Given Input Data is 564, 826, 93, 279
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 826 is 2 x 7 x 59
Prime Factorization of 93 is 3 x 31
Prime Factorization of 279 is 3 x 3 x 31
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, 826) = 232932
GCD(564, 826) = ( 564 x 826 ) / 232932
GCD(564, 826) = 465864 / 232932
GCD(564, 826) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 93) = 186
GCD(2, 93) = ( 2 x 93 ) / 186
GCD(2, 93) = 186 / 186
GCD(2, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 564, 826, 93, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 826, 93, 279?
GCD of 564, 826, 93, 279 is 1
2. Where do I get the detailed procedure to find GCD of 564, 826, 93, 279?
You can find a detailed procedure to find GCD of 564, 826, 93, 279 on our page.
3. How to find GCD of 564, 826, 93, 279 on a calculator?
You can find the GCD of 564, 826, 93, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.