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, 423, 13, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 423, 13, 640 is 1
GCD(582, 423, 13, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 423, 13, 640 is 1
GCD(582, 423, 13, 640) = 1
Given Input numbers are 582, 423, 13, 640
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 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 582, 423, 13, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 423, 13, 640 is 1.
Therefore, GCD of numbers 582, 423, 13, 640 is 1
Given Input Data is 582, 423, 13, 640
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 423 is 3 x 3 x 47
Prime Factorization of 13 is 13
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(582, 423) = 82062
GCD(582, 423) = ( 582 x 423 ) / 82062
GCD(582, 423) = 246186 / 82062
GCD(582, 423) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 582, 423, 13, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 423, 13, 640?
GCD of 582, 423, 13, 640 is 1
2. Where do I get the detailed procedure to find GCD of 582, 423, 13, 640?
You can find a detailed procedure to find GCD of 582, 423, 13, 640 on our page.
3. How to find GCD of 582, 423, 13, 640 on a calculator?
You can find the GCD of 582, 423, 13, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.