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, 489, 852, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 489, 852, 865 is 1
GCD(582, 489, 852, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 489, 852, 865 is 1
GCD(582, 489, 852, 865) = 1
Given Input numbers are 582, 489, 852, 865
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 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 582, 489, 852, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 489, 852, 865 is 1.
Therefore, GCD of numbers 582, 489, 852, 865 is 1
Given Input Data is 582, 489, 852, 865
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 489 is 3 x 163
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 865 is 5 x 173
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, 489) = 94866
GCD(582, 489) = ( 582 x 489 ) / 94866
GCD(582, 489) = 284598 / 94866
GCD(582, 489) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 852) = 852
GCD(3, 852) = ( 3 x 852 ) / 852
GCD(3, 852) = 2556 / 852
GCD(3, 852) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 865) = 2595
GCD(3, 865) = ( 3 x 865 ) / 2595
GCD(3, 865) = 2595 / 2595
GCD(3, 865) = 1
GCD of 582, 489, 852, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 489, 852, 865?
GCD of 582, 489, 852, 865 is 1
2. Where do I get the detailed procedure to find GCD of 582, 489, 852, 865?
You can find a detailed procedure to find GCD of 582, 489, 852, 865 on our page.
3. How to find GCD of 582, 489, 852, 865 on a calculator?
You can find the GCD of 582, 489, 852, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.