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, 626, 940, 190 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 626, 940, 190 is 1
GCD(589, 626, 940, 190) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 626, 940, 190 is 1
GCD(589, 626, 940, 190) = 1
Given Input numbers are 589, 626, 940, 190
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 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Greatest Common Divisior
We found the divisors of 589, 626, 940, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 626, 940, 190 is 1.
Therefore, GCD of numbers 589, 626, 940, 190 is 1
Given Input Data is 589, 626, 940, 190
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 626 is 2 x 313
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 190 is 2 x 5 x 19
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, 626) = 368714
GCD(589, 626) = ( 589 x 626 ) / 368714
GCD(589, 626) = 368714 / 368714
GCD(589, 626) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
GCD of 589, 626, 940, 190 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 626, 940, 190?
GCD of 589, 626, 940, 190 is 1
2. Where do I get the detailed procedure to find GCD of 589, 626, 940, 190?
You can find a detailed procedure to find GCD of 589, 626, 940, 190 on our page.
3. How to find GCD of 589, 626, 940, 190 on a calculator?
You can find the GCD of 589, 626, 940, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.