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 272, 236, 571, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 236, 571, 838 is 1
GCD(272, 236, 571, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 236, 571, 838 is 1
GCD(272, 236, 571, 838) = 1
Given Input numbers are 272, 236, 571, 838
To find the GCD of numbers using factoring list out all the divisors of each number
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 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 272, 236, 571, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 236, 571, 838 is 1.
Therefore, GCD of numbers 272, 236, 571, 838 is 1
Given Input Data is 272, 236, 571, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 571 is 571
Prime Factorization of 838 is 2 x 419
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(272, 236) = 16048
GCD(272, 236) = ( 272 x 236 ) / 16048
GCD(272, 236) = 64192 / 16048
GCD(272, 236) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 571) = 2284
GCD(4, 571) = ( 4 x 571 ) / 2284
GCD(4, 571) = 2284 / 2284
GCD(4, 571) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 272, 236, 571, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 236, 571, 838?
GCD of 272, 236, 571, 838 is 1
2. Where do I get the detailed procedure to find GCD of 272, 236, 571, 838?
You can find a detailed procedure to find GCD of 272, 236, 571, 838 on our page.
3. How to find GCD of 272, 236, 571, 838 on a calculator?
You can find the GCD of 272, 236, 571, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.