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, 382, 432, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 382, 432, 631 is 1
GCD(438, 382, 432, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 382, 432, 631 is 1
GCD(438, 382, 432, 631) = 1
Given Input numbers are 438, 382, 432, 631
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 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 438, 382, 432, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 382, 432, 631 is 1.
Therefore, GCD of numbers 438, 382, 432, 631 is 1
Given Input Data is 438, 382, 432, 631
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 382 is 2 x 191
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 631 is 631
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, 382) = 83658
GCD(438, 382) = ( 438 x 382 ) / 83658
GCD(438, 382) = 167316 / 83658
GCD(438, 382) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
GCD(2, 432) = 864 / 432
GCD(2, 432) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 631) = 1262
GCD(2, 631) = ( 2 x 631 ) / 1262
GCD(2, 631) = 1262 / 1262
GCD(2, 631) = 1
GCD of 438, 382, 432, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 382, 432, 631?
GCD of 438, 382, 432, 631 is 1
2. Where do I get the detailed procedure to find GCD of 438, 382, 432, 631?
You can find a detailed procedure to find GCD of 438, 382, 432, 631 on our page.
3. How to find GCD of 438, 382, 432, 631 on a calculator?
You can find the GCD of 438, 382, 432, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.