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 72, 561, 439, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 561, 439, 229 is 1
GCD(72, 561, 439, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 561, 439, 229 is 1
GCD(72, 561, 439, 229) = 1
Given Input numbers are 72, 561, 439, 229
To find the GCD of numbers using factoring list out all the divisors of each number
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 72, 561, 439, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 561, 439, 229 is 1.
Therefore, GCD of numbers 72, 561, 439, 229 is 1
Given Input Data is 72, 561, 439, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 439 is 439
Prime Factorization of 229 is 229
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(72, 561) = 13464
GCD(72, 561) = ( 72 x 561 ) / 13464
GCD(72, 561) = 40392 / 13464
GCD(72, 561) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 439
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 439) = 1317
GCD(3, 439) = ( 3 x 439 ) / 1317
GCD(3, 439) = 1317 / 1317
GCD(3, 439) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 72, 561, 439, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 561, 439, 229?
GCD of 72, 561, 439, 229 is 1
2. Where do I get the detailed procedure to find GCD of 72, 561, 439, 229?
You can find a detailed procedure to find GCD of 72, 561, 439, 229 on our page.
3. How to find GCD of 72, 561, 439, 229 on a calculator?
You can find the GCD of 72, 561, 439, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.