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, 240, 83, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 240, 83, 759 is 1
GCD(589, 240, 83, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 240, 83, 759 is 1
GCD(589, 240, 83, 759) = 1
Given Input numbers are 589, 240, 83, 759
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 589, 240, 83, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 240, 83, 759 is 1.
Therefore, GCD of numbers 589, 240, 83, 759 is 1
Given Input Data is 589, 240, 83, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 83 is 83
Prime Factorization of 759 is 3 x 11 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(589, 240) = 141360
GCD(589, 240) = ( 589 x 240 ) / 141360
GCD(589, 240) = 141360 / 141360
GCD(589, 240) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 589, 240, 83, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 240, 83, 759?
GCD of 589, 240, 83, 759 is 1
2. Where do I get the detailed procedure to find GCD of 589, 240, 83, 759?
You can find a detailed procedure to find GCD of 589, 240, 83, 759 on our page.
3. How to find GCD of 589, 240, 83, 759 on a calculator?
You can find the GCD of 589, 240, 83, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.