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 534, 789, 500, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 789, 500, 230 is 1
GCD(534, 789, 500, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 789, 500, 230 is 1
GCD(534, 789, 500, 230) = 1
Given Input numbers are 534, 789, 500, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
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 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 534, 789, 500, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 789, 500, 230 is 1.
Therefore, GCD of numbers 534, 789, 500, 230 is 1
Given Input Data is 534, 789, 500, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 789 is 3 x 263
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 230 is 2 x 5 x 23
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(534, 789) = 140442
GCD(534, 789) = ( 534 x 789 ) / 140442
GCD(534, 789) = 421326 / 140442
GCD(534, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 500) = 1500
GCD(3, 500) = ( 3 x 500 ) / 1500
GCD(3, 500) = 1500 / 1500
GCD(3, 500) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 230) = 230
GCD(1, 230) = ( 1 x 230 ) / 230
GCD(1, 230) = 230 / 230
GCD(1, 230) = 1
GCD of 534, 789, 500, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 789, 500, 230?
GCD of 534, 789, 500, 230 is 1
2. Where do I get the detailed procedure to find GCD of 534, 789, 500, 230?
You can find a detailed procedure to find GCD of 534, 789, 500, 230 on our page.
3. How to find GCD of 534, 789, 500, 230 on a calculator?
You can find the GCD of 534, 789, 500, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.