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 438, 613, 726, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 613, 726, 902 is 1
GCD(438, 613, 726, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 613, 726, 902 is 1
GCD(438, 613, 726, 902) = 1
Given Input numbers are 438, 613, 726, 902
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 438, 613, 726, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 613, 726, 902 is 1.
Therefore, GCD of numbers 438, 613, 726, 902 is 1
Given Input Data is 438, 613, 726, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 613 is 613
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 902 is 2 x 11 x 41
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(438, 613) = 268494
GCD(438, 613) = ( 438 x 613 ) / 268494
GCD(438, 613) = 268494 / 268494
GCD(438, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 438, 613, 726, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 613, 726, 902?
GCD of 438, 613, 726, 902 is 1
2. Where do I get the detailed procedure to find GCD of 438, 613, 726, 902?
You can find a detailed procedure to find GCD of 438, 613, 726, 902 on our page.
3. How to find GCD of 438, 613, 726, 902 on a calculator?
You can find the GCD of 438, 613, 726, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.