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 824, 431, 13, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 431, 13, 689 is 1
GCD(824, 431, 13, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 431, 13, 689 is 1
GCD(824, 431, 13, 689) = 1
Given Input numbers are 824, 431, 13, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 824, 431, 13, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 431, 13, 689 is 1.
Therefore, GCD of numbers 824, 431, 13, 689 is 1
Given Input Data is 824, 431, 13, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 431 is 431
Prime Factorization of 13 is 13
Prime Factorization of 689 is 13 x 53
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(824, 431) = 355144
GCD(824, 431) = ( 824 x 431 ) / 355144
GCD(824, 431) = 355144 / 355144
GCD(824, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 824, 431, 13, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 431, 13, 689?
GCD of 824, 431, 13, 689 is 1
2. Where do I get the detailed procedure to find GCD of 824, 431, 13, 689?
You can find a detailed procedure to find GCD of 824, 431, 13, 689 on our page.
3. How to find GCD of 824, 431, 13, 689 on a calculator?
You can find the GCD of 824, 431, 13, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.