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 400, 589, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 589, 124 is 1
GCD(400, 589, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 589, 124 is 1
GCD(400, 589, 124) = 1
Given Input numbers are 400, 589, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 400, 589, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 589, 124 is 1.
Therefore, GCD of numbers 400, 589, 124 is 1
Given Input Data is 400, 589, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 589 is 19 x 31
Prime Factorization of 124 is 2 x 2 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(400, 589) = 235600
GCD(400, 589) = ( 400 x 589 ) / 235600
GCD(400, 589) = 235600 / 235600
GCD(400, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 400, 589, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 589, 124?
GCD of 400, 589, 124 is 1
2. Where do I get the detailed procedure to find GCD of 400, 589, 124?
You can find a detailed procedure to find GCD of 400, 589, 124 on our page.
3. How to find GCD of 400, 589, 124 on a calculator?
You can find the GCD of 400, 589, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.