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 484, 822, 564, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 822, 564, 789 is 1
GCD(484, 822, 564, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 822, 564, 789 is 1
GCD(484, 822, 564, 789) = 1
Given Input numbers are 484, 822, 564, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
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 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 484, 822, 564, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 822, 564, 789 is 1.
Therefore, GCD of numbers 484, 822, 564, 789 is 1
Given Input Data is 484, 822, 564, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 789 is 3 x 263
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(484, 822) = 198924
GCD(484, 822) = ( 484 x 822 ) / 198924
GCD(484, 822) = 397848 / 198924
GCD(484, 822) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
GCD(2, 564) = 1128 / 564
GCD(2, 564) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
GCD of 484, 822, 564, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 822, 564, 789?
GCD of 484, 822, 564, 789 is 1
2. Where do I get the detailed procedure to find GCD of 484, 822, 564, 789?
You can find a detailed procedure to find GCD of 484, 822, 564, 789 on our page.
3. How to find GCD of 484, 822, 564, 789 on a calculator?
You can find the GCD of 484, 822, 564, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.