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, 927, 99, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 927, 99, 824 is 1
GCD(582, 927, 99, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 927, 99, 824 is 1
GCD(582, 927, 99, 824) = 1
Given Input numbers are 582, 927, 99, 824
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 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 582, 927, 99, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 927, 99, 824 is 1.
Therefore, GCD of numbers 582, 927, 99, 824 is 1
Given Input Data is 582, 927, 99, 824
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 927 is 3 x 3 x 103
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 824 is 2 x 2 x 2 x 103
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, 927) = 179838
GCD(582, 927) = ( 582 x 927 ) / 179838
GCD(582, 927) = 539514 / 179838
GCD(582, 927) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
GCD(3, 99) = 297 / 99
GCD(3, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 824) = 2472
GCD(3, 824) = ( 3 x 824 ) / 2472
GCD(3, 824) = 2472 / 2472
GCD(3, 824) = 1
GCD of 582, 927, 99, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 927, 99, 824?
GCD of 582, 927, 99, 824 is 1
2. Where do I get the detailed procedure to find GCD of 582, 927, 99, 824?
You can find a detailed procedure to find GCD of 582, 927, 99, 824 on our page.
3. How to find GCD of 582, 927, 99, 824 on a calculator?
You can find the GCD of 582, 927, 99, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.