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 613, 685, 589, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 613, 685, 589, 564 is 1
GCD(613, 685, 589, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 613, 685, 589, 564 is 1
GCD(613, 685, 589, 564) = 1
Given Input numbers are 613, 685, 589, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
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
Greatest Common Divisior
We found the divisors of 613, 685, 589, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 685, 589, 564 is 1.
Therefore, GCD of numbers 613, 685, 589, 564 is 1
Given Input Data is 613, 685, 589, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 613 is 613
Prime Factorization of 685 is 5 x 137
Prime Factorization of 589 is 19 x 31
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(613, 685) = 419905
GCD(613, 685) = ( 613 x 685 ) / 419905
GCD(613, 685) = 419905 / 419905
GCD(613, 685) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 613, 685, 589, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 613, 685, 589, 564?
GCD of 613, 685, 589, 564 is 1
2. Where do I get the detailed procedure to find GCD of 613, 685, 589, 564?
You can find a detailed procedure to find GCD of 613, 685, 589, 564 on our page.
3. How to find GCD of 613, 685, 589, 564 on a calculator?
You can find the GCD of 613, 685, 589, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.