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 580, 514, 79, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 514, 79, 872 is 1
GCD(580, 514, 79, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 514, 79, 872 is 1
GCD(580, 514, 79, 872) = 1
Given Input numbers are 580, 514, 79, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 580, 514, 79, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 514, 79, 872 is 1.
Therefore, GCD of numbers 580, 514, 79, 872 is 1
Given Input Data is 580, 514, 79, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 514 is 2 x 257
Prime Factorization of 79 is 79
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(580, 514) = 149060
GCD(580, 514) = ( 580 x 514 ) / 149060
GCD(580, 514) = 298120 / 149060
GCD(580, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 580, 514, 79, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 514, 79, 872?
GCD of 580, 514, 79, 872 is 1
2. Where do I get the detailed procedure to find GCD of 580, 514, 79, 872?
You can find a detailed procedure to find GCD of 580, 514, 79, 872 on our page.
3. How to find GCD of 580, 514, 79, 872 on a calculator?
You can find the GCD of 580, 514, 79, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.