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, 493, 826, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 493, 826, 595 is 1
GCD(13, 493, 826, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 493, 826, 595 is 1
GCD(13, 493, 826, 595) = 1
Given Input numbers are 13, 493, 826, 595
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 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 13, 493, 826, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 493, 826, 595 is 1.
Therefore, GCD of numbers 13, 493, 826, 595 is 1
Given Input Data is 13, 493, 826, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 493 is 17 x 29
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 595 is 5 x 7 x 17
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, 493) = 6409
GCD(13, 493) = ( 13 x 493 ) / 6409
GCD(13, 493) = 6409 / 6409
GCD(13, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 13, 493, 826, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 493, 826, 595?
GCD of 13, 493, 826, 595 is 1
2. Where do I get the detailed procedure to find GCD of 13, 493, 826, 595?
You can find a detailed procedure to find GCD of 13, 493, 826, 595 on our page.
3. How to find GCD of 13, 493, 826, 595 on a calculator?
You can find the GCD of 13, 493, 826, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.