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, 328, 41, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 328, 41, 629 is 1
GCD(438, 328, 41, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 328, 41, 629 is 1
GCD(438, 328, 41, 629) = 1
Given Input numbers are 438, 328, 41, 629
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 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 438, 328, 41, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 328, 41, 629 is 1.
Therefore, GCD of numbers 438, 328, 41, 629 is 1
Given Input Data is 438, 328, 41, 629
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 328 is 2 x 2 x 2 x 41
Prime Factorization of 41 is 41
Prime Factorization of 629 is 17 x 37
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, 328) = 71832
GCD(438, 328) = ( 438 x 328 ) / 71832
GCD(438, 328) = 143664 / 71832
GCD(438, 328) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 438, 328, 41, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 328, 41, 629?
GCD of 438, 328, 41, 629 is 1
2. Where do I get the detailed procedure to find GCD of 438, 328, 41, 629?
You can find a detailed procedure to find GCD of 438, 328, 41, 629 on our page.
3. How to find GCD of 438, 328, 41, 629 on a calculator?
You can find the GCD of 438, 328, 41, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.