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, 189, 396, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 189, 396, 711 is 1
GCD(580, 189, 396, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 189, 396, 711 is 1
GCD(580, 189, 396, 711) = 1
Given Input numbers are 580, 189, 396, 711
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 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 580, 189, 396, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 189, 396, 711 is 1.
Therefore, GCD of numbers 580, 189, 396, 711 is 1
Given Input Data is 580, 189, 396, 711
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 189 is 3 x 3 x 3 x 7
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 711 is 3 x 3 x 79
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, 189) = 109620
GCD(580, 189) = ( 580 x 189 ) / 109620
GCD(580, 189) = 109620 / 109620
GCD(580, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 580, 189, 396, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 189, 396, 711?
GCD of 580, 189, 396, 711 is 1
2. Where do I get the detailed procedure to find GCD of 580, 189, 396, 711?
You can find a detailed procedure to find GCD of 580, 189, 396, 711 on our page.
3. How to find GCD of 580, 189, 396, 711 on a calculator?
You can find the GCD of 580, 189, 396, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.