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 589, 957, 82, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 957, 82, 876 is 1
GCD(589, 957, 82, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 957, 82, 876 is 1
GCD(589, 957, 82, 876) = 1
Given Input numbers are 589, 957, 82, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 589, 957, 82, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 957, 82, 876 is 1.
Therefore, GCD of numbers 589, 957, 82, 876 is 1
Given Input Data is 589, 957, 82, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 82 is 2 x 41
Prime Factorization of 876 is 2 x 2 x 3 x 73
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(589, 957) = 563673
GCD(589, 957) = ( 589 x 957 ) / 563673
GCD(589, 957) = 563673 / 563673
GCD(589, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 589, 957, 82, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 957, 82, 876?
GCD of 589, 957, 82, 876 is 1
2. Where do I get the detailed procedure to find GCD of 589, 957, 82, 876?
You can find a detailed procedure to find GCD of 589, 957, 82, 876 on our page.
3. How to find GCD of 589, 957, 82, 876 on a calculator?
You can find the GCD of 589, 957, 82, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.