GCD of 272, 236, 571, 838 Calculator

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

GCD of numbers 272, 236, 571, 838 is 1

GCD(272, 236, 571, 838) = 1

GCD of 272,236,571,838 Calculator

GCDof 272,236,571,838 is 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

Finding GCD of 272, 236, 571, 838 using Prime Factorization

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

Finding GCD of 272, 236, 571, 838 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 272, 236, 571, 838

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.