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 729, 838, 226, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 838, 226, 376 is 1
GCD(729, 838, 226, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 838, 226, 376 is 1
GCD(729, 838, 226, 376) = 1
Given Input numbers are 729, 838, 226, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 729, 838, 226, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 838, 226, 376 is 1.
Therefore, GCD of numbers 729, 838, 226, 376 is 1
Given Input Data is 729, 838, 226, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 838 is 2 x 419
Prime Factorization of 226 is 2 x 113
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(729, 838) = 610902
GCD(729, 838) = ( 729 x 838 ) / 610902
GCD(729, 838) = 610902 / 610902
GCD(729, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 729, 838, 226, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 838, 226, 376?
GCD of 729, 838, 226, 376 is 1
2. Where do I get the detailed procedure to find GCD of 729, 838, 226, 376?
You can find a detailed procedure to find GCD of 729, 838, 226, 376 on our page.
3. How to find GCD of 729, 838, 226, 376 on a calculator?
You can find the GCD of 729, 838, 226, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.