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, 756, 72, 501 i.e. 3 largest integer that divides all the numbers equally.
GCD of 438, 756, 72, 501 is 3
GCD(438, 756, 72, 501) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 756, 72, 501 is 3
GCD(438, 756, 72, 501) = 3
Given Input numbers are 438, 756, 72, 501
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 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 438, 756, 72, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 756, 72, 501 is 3.
Therefore, GCD of numbers 438, 756, 72, 501 is 3
Given Input Data is 438, 756, 72, 501
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 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 501 is 3 x 167
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 756) = 55188
GCD(438, 756) = ( 438 x 756 ) / 55188
GCD(438, 756) = 331128 / 55188
GCD(438, 756) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 72) = 72
GCD(6, 72) = ( 6 x 72 ) / 72
GCD(6, 72) = 432 / 72
GCD(6, 72) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 501) = 1002
GCD(6, 501) = ( 6 x 501 ) / 1002
GCD(6, 501) = 3006 / 1002
GCD(6, 501) = 3
GCD of 438, 756, 72, 501 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 756, 72, 501?
GCD of 438, 756, 72, 501 is 3
2. Where do I get the detailed procedure to find GCD of 438, 756, 72, 501?
You can find a detailed procedure to find GCD of 438, 756, 72, 501 on our page.
3. How to find GCD of 438, 756, 72, 501 on a calculator?
You can find the GCD of 438, 756, 72, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.