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, 992, 24, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 992, 24, 433 is 1
GCD(438, 992, 24, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 992, 24, 433 is 1
GCD(438, 992, 24, 433) = 1
Given Input numbers are 438, 992, 24, 433
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 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 438, 992, 24, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 992, 24, 433 is 1.
Therefore, GCD of numbers 438, 992, 24, 433 is 1
Given Input Data is 438, 992, 24, 433
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 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 433 is 433
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, 992) = 217248
GCD(438, 992) = ( 438 x 992 ) / 217248
GCD(438, 992) = 434496 / 217248
GCD(438, 992) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 433) = 866
GCD(2, 433) = ( 2 x 433 ) / 866
GCD(2, 433) = 866 / 866
GCD(2, 433) = 1
GCD of 438, 992, 24, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 992, 24, 433?
GCD of 438, 992, 24, 433 is 1
2. Where do I get the detailed procedure to find GCD of 438, 992, 24, 433?
You can find a detailed procedure to find GCD of 438, 992, 24, 433 on our page.
3. How to find GCD of 438, 992, 24, 433 on a calculator?
You can find the GCD of 438, 992, 24, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.