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 18, 537, 272, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 537, 272, 438 is 1
GCD(18, 537, 272, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 537, 272, 438 is 1
GCD(18, 537, 272, 438) = 1
Given Input numbers are 18, 537, 272, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 18, 537, 272, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 537, 272, 438 is 1.
Therefore, GCD of numbers 18, 537, 272, 438 is 1
Given Input Data is 18, 537, 272, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 537 is 3 x 179
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 438 is 2 x 3 x 73
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(18, 537) = 3222
GCD(18, 537) = ( 18 x 537 ) / 3222
GCD(18, 537) = 9666 / 3222
GCD(18, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 272) = 816
GCD(3, 272) = ( 3 x 272 ) / 816
GCD(3, 272) = 816 / 816
GCD(3, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 18, 537, 272, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 537, 272, 438?
GCD of 18, 537, 272, 438 is 1
2. Where do I get the detailed procedure to find GCD of 18, 537, 272, 438?
You can find a detailed procedure to find GCD of 18, 537, 272, 438 on our page.
3. How to find GCD of 18, 537, 272, 438 on a calculator?
You can find the GCD of 18, 537, 272, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.