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 579, 390, 72, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 579, 390, 72, 928 is 1
GCD(579, 390, 72, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 579, 390, 72, 928 is 1
GCD(579, 390, 72, 928) = 1
Given Input numbers are 579, 390, 72, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 579, 390, 72, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 390, 72, 928 is 1.
Therefore, GCD of numbers 579, 390, 72, 928 is 1
Given Input Data is 579, 390, 72, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 579 is 3 x 193
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(579, 390) = 75270
GCD(579, 390) = ( 579 x 390 ) / 75270
GCD(579, 390) = 225810 / 75270
GCD(579, 390) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 928) = 2784
GCD(3, 928) = ( 3 x 928 ) / 2784
GCD(3, 928) = 2784 / 2784
GCD(3, 928) = 1
GCD of 579, 390, 72, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 579, 390, 72, 928?
GCD of 579, 390, 72, 928 is 1
2. Where do I get the detailed procedure to find GCD of 579, 390, 72, 928?
You can find a detailed procedure to find GCD of 579, 390, 72, 928 on our page.
3. How to find GCD of 579, 390, 72, 928 on a calculator?
You can find the GCD of 579, 390, 72, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.