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 813, 135, 339, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 135, 339, 437 is 1
GCD(813, 135, 339, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 135, 339, 437 is 1
GCD(813, 135, 339, 437) = 1
Given Input numbers are 813, 135, 339, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 813, 135, 339, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 135, 339, 437 is 1.
Therefore, GCD of numbers 813, 135, 339, 437 is 1
Given Input Data is 813, 135, 339, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 339 is 3 x 113
Prime Factorization of 437 is 19 x 23
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(813, 135) = 36585
GCD(813, 135) = ( 813 x 135 ) / 36585
GCD(813, 135) = 109755 / 36585
GCD(813, 135) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
GCD(3, 339) = 1017 / 339
GCD(3, 339) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
GCD(3, 437) = 1311 / 1311
GCD(3, 437) = 1
GCD of 813, 135, 339, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 135, 339, 437?
GCD of 813, 135, 339, 437 is 1
2. Where do I get the detailed procedure to find GCD of 813, 135, 339, 437?
You can find a detailed procedure to find GCD of 813, 135, 339, 437 on our page.
3. How to find GCD of 813, 135, 339, 437 on a calculator?
You can find the GCD of 813, 135, 339, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.