GCD of 594, 272, 57, 344 Calculator

Given Input numbers are 594, 272, 57, 344

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 594, 272, 57, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 272, 57, 344 is 1.

Therefore, GCD of numbers 594, 272, 57, 344 is 1

Given Input Data is 594, 272, 57, 344

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(594, 272) = 80784

GCD(594, 272) = ( 594 x 272 ) / 80784

GCD(594, 272) = 161568 / 80784

GCD(594, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 594, 272, 57, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 777, 39, 626
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1. What is the GCD of 594, 272, 57, 344?

GCD of 594, 272, 57, 344 is 1

2. Where do I get the detailed procedure to find GCD of 594, 272, 57, 344?

You can find a detailed procedure to find GCD of 594, 272, 57, 344 on our page.

3. How to find GCD of 594, 272, 57, 344 on a calculator?

You can find the GCD of 594, 272, 57, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.