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 273, 564, 536, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 564, 536, 438 is 1
GCD(273, 564, 536, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 564, 536, 438 is 1
GCD(273, 564, 536, 438) = 1
Given Input numbers are 273, 564, 536, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
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 273, 564, 536, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 564, 536, 438 is 1.
Therefore, GCD of numbers 273, 564, 536, 438 is 1
Given Input Data is 273, 564, 536, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(273, 564) = 51324
GCD(273, 564) = ( 273 x 564 ) / 51324
GCD(273, 564) = 153972 / 51324
GCD(273, 564) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 536) = 1608
GCD(3, 536) = ( 3 x 536 ) / 1608
GCD(3, 536) = 1608 / 1608
GCD(3, 536) = 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 273, 564, 536, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 564, 536, 438?
GCD of 273, 564, 536, 438 is 1
2. Where do I get the detailed procedure to find GCD of 273, 564, 536, 438?
You can find a detailed procedure to find GCD of 273, 564, 536, 438 on our page.
3. How to find GCD of 273, 564, 536, 438 on a calculator?
You can find the GCD of 273, 564, 536, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.