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, 532, 17, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 532, 17, 394 is 1
GCD(580, 532, 17, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 532, 17, 394 is 1
GCD(580, 532, 17, 394) = 1
Given Input numbers are 580, 532, 17, 394
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 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 580, 532, 17, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 532, 17, 394 is 1.
Therefore, GCD of numbers 580, 532, 17, 394 is 1
Given Input Data is 580, 532, 17, 394
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 532 is 2 x 2 x 7 x 19
Prime Factorization of 17 is 17
Prime Factorization of 394 is 2 x 197
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, 532) = 77140
GCD(580, 532) = ( 580 x 532 ) / 77140
GCD(580, 532) = 308560 / 77140
GCD(580, 532) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 17) = 68
GCD(4, 17) = ( 4 x 17 ) / 68
GCD(4, 17) = 68 / 68
GCD(4, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 580, 532, 17, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 532, 17, 394?
GCD of 580, 532, 17, 394 is 1
2. Where do I get the detailed procedure to find GCD of 580, 532, 17, 394?
You can find a detailed procedure to find GCD of 580, 532, 17, 394 on our page.
3. How to find GCD of 580, 532, 17, 394 on a calculator?
You can find the GCD of 580, 532, 17, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.