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 582, 855, 394, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 855, 394, 991 is 1
GCD(582, 855, 394, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 855, 394, 991 is 1
GCD(582, 855, 394, 991) = 1
Given Input numbers are 582, 855, 394, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 582, 855, 394, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 855, 394, 991 is 1.
Therefore, GCD of numbers 582, 855, 394, 991 is 1
Given Input Data is 582, 855, 394, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 394 is 2 x 197
Prime Factorization of 991 is 991
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(582, 855) = 165870
GCD(582, 855) = ( 582 x 855 ) / 165870
GCD(582, 855) = 497610 / 165870
GCD(582, 855) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 394) = 1182
GCD(3, 394) = ( 3 x 394 ) / 1182
GCD(3, 394) = 1182 / 1182
GCD(3, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 582, 855, 394, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 855, 394, 991?
GCD of 582, 855, 394, 991 is 1
2. Where do I get the detailed procedure to find GCD of 582, 855, 394, 991?
You can find a detailed procedure to find GCD of 582, 855, 394, 991 on our page.
3. How to find GCD of 582, 855, 394, 991 on a calculator?
You can find the GCD of 582, 855, 394, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.