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 13, 812, 289, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 812, 289, 623 is 1
GCD(13, 812, 289, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 812, 289, 623 is 1
GCD(13, 812, 289, 623) = 1
Given Input numbers are 13, 812, 289, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 13, 812, 289, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 812, 289, 623 is 1.
Therefore, GCD of numbers 13, 812, 289, 623 is 1
Given Input Data is 13, 812, 289, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 289 is 17 x 17
Prime Factorization of 623 is 7 x 89
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(13, 812) = 10556
GCD(13, 812) = ( 13 x 812 ) / 10556
GCD(13, 812) = 10556 / 10556
GCD(13, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 13, 812, 289, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 812, 289, 623?
GCD of 13, 812, 289, 623 is 1
2. Where do I get the detailed procedure to find GCD of 13, 812, 289, 623?
You can find a detailed procedure to find GCD of 13, 812, 289, 623 on our page.
3. How to find GCD of 13, 812, 289, 623 on a calculator?
You can find the GCD of 13, 812, 289, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.