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 12, 500, 589, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 500, 589, 833 is 1
GCD(12, 500, 589, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 500, 589, 833 is 1
GCD(12, 500, 589, 833) = 1
Given Input numbers are 12, 500, 589, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 12, 500, 589, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 500, 589, 833 is 1.
Therefore, GCD of numbers 12, 500, 589, 833 is 1
Given Input Data is 12, 500, 589, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 589 is 19 x 31
Prime Factorization of 833 is 7 x 7 x 17
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(12, 500) = 1500
GCD(12, 500) = ( 12 x 500 ) / 1500
GCD(12, 500) = 6000 / 1500
GCD(12, 500) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 589) = 2356
GCD(4, 589) = ( 4 x 589 ) / 2356
GCD(4, 589) = 2356 / 2356
GCD(4, 589) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 12, 500, 589, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 500, 589, 833?
GCD of 12, 500, 589, 833 is 1
2. Where do I get the detailed procedure to find GCD of 12, 500, 589, 833?
You can find a detailed procedure to find GCD of 12, 500, 589, 833 on our page.
3. How to find GCD of 12, 500, 589, 833 on a calculator?
You can find the GCD of 12, 500, 589, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.