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, 824, 75, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 824, 75, 643 is 1
GCD(438, 824, 75, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 824, 75, 643 is 1
GCD(438, 824, 75, 643) = 1
Given Input numbers are 438, 824, 75, 643
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 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 438, 824, 75, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 824, 75, 643 is 1.
Therefore, GCD of numbers 438, 824, 75, 643 is 1
Given Input Data is 438, 824, 75, 643
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 824 is 2 x 2 x 2 x 103
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 643 is 643
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, 824) = 180456
GCD(438, 824) = ( 438 x 824 ) / 180456
GCD(438, 824) = 360912 / 180456
GCD(438, 824) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 438, 824, 75, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 824, 75, 643?
GCD of 438, 824, 75, 643 is 1
2. Where do I get the detailed procedure to find GCD of 438, 824, 75, 643?
You can find a detailed procedure to find GCD of 438, 824, 75, 643 on our page.
3. How to find GCD of 438, 824, 75, 643 on a calculator?
You can find the GCD of 438, 824, 75, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.