GCD of 588, 238, 839, 272 Calculator

Given Input numbers are 588, 238, 839, 272

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

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

Greatest Common Divisior

We found the divisors of 588, 238, 839, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 238, 839, 272 is 1.

Therefore, GCD of numbers 588, 238, 839, 272 is 1

Given Input Data is 588, 238, 839, 272

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 839 is 839

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(588, 238) = 9996

GCD(588, 238) = ( 588 x 238 ) / 9996

GCD(588, 238) = 139944 / 9996

GCD(588, 238) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 839

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(14, 839) = 11746

GCD(14, 839) = ( 14 x 839 ) / 11746

GCD(14, 839) = 11746 / 11746

GCD(14, 839) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 588, 238, 839, 272 is 1

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1. What is the GCD of 588, 238, 839, 272?

GCD of 588, 238, 839, 272 is 1

2. Where do I get the detailed procedure to find GCD of 588, 238, 839, 272?

You can find a detailed procedure to find GCD of 588, 238, 839, 272 on our page.

3. How to find GCD of 588, 238, 839, 272 on a calculator?

You can find the GCD of 588, 238, 839, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.