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, 793, 18, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 793, 18, 434 is 1
GCD(589, 793, 18, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 793, 18, 434 is 1
GCD(589, 793, 18, 434) = 1
Given Input numbers are 589, 793, 18, 434
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 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 589, 793, 18, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 793, 18, 434 is 1.
Therefore, GCD of numbers 589, 793, 18, 434 is 1
Given Input Data is 589, 793, 18, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 793 is 13 x 61
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 434 is 2 x 7 x 31
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, 793) = 467077
GCD(589, 793) = ( 589 x 793 ) / 467077
GCD(589, 793) = 467077 / 467077
GCD(589, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 589, 793, 18, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 793, 18, 434?
GCD of 589, 793, 18, 434 is 1
2. Where do I get the detailed procedure to find GCD of 589, 793, 18, 434?
You can find a detailed procedure to find GCD of 589, 793, 18, 434 on our page.
3. How to find GCD of 589, 793, 18, 434 on a calculator?
You can find the GCD of 589, 793, 18, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.