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 434, 507, 59, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 507, 59, 589 is 1
GCD(434, 507, 59, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 507, 59, 589 is 1
GCD(434, 507, 59, 589) = 1
Given Input numbers are 434, 507, 59, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 434, 507, 59, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 507, 59, 589 is 1.
Therefore, GCD of numbers 434, 507, 59, 589 is 1
Given Input Data is 434, 507, 59, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 59 is 59
Prime Factorization of 589 is 19 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(434, 507) = 220038
GCD(434, 507) = ( 434 x 507 ) / 220038
GCD(434, 507) = 220038 / 220038
GCD(434, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
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
GCD of 434, 507, 59, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 507, 59, 589?
GCD of 434, 507, 59, 589 is 1
2. Where do I get the detailed procedure to find GCD of 434, 507, 59, 589?
You can find a detailed procedure to find GCD of 434, 507, 59, 589 on our page.
3. How to find GCD of 434, 507, 59, 589 on a calculator?
You can find the GCD of 434, 507, 59, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.