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, 711, 418, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 711, 418, 200 is 1
GCD(580, 711, 418, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 711, 418, 200 is 1
GCD(580, 711, 418, 200) = 1
Given Input numbers are 580, 711, 418, 200
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 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 580, 711, 418, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 711, 418, 200 is 1.
Therefore, GCD of numbers 580, 711, 418, 200 is 1
Given Input Data is 580, 711, 418, 200
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 711 is 3 x 3 x 79
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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, 711) = 412380
GCD(580, 711) = ( 580 x 711 ) / 412380
GCD(580, 711) = 412380 / 412380
GCD(580, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 580, 711, 418, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 711, 418, 200?
GCD of 580, 711, 418, 200 is 1
2. Where do I get the detailed procedure to find GCD of 580, 711, 418, 200?
You can find a detailed procedure to find GCD of 580, 711, 418, 200 on our page.
3. How to find GCD of 580, 711, 418, 200 on a calculator?
You can find the GCD of 580, 711, 418, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.