GCD of 576, 519, 712, 272 Calculator

Given Input numbers are 576, 519, 712, 272

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 576, 519, 712, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 519, 712, 272 is 1.

Therefore, GCD of numbers 576, 519, 712, 272 is 1

Given Input Data is 576, 519, 712, 272

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 519 is 3 x 173

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(576, 519) = 99648

GCD(576, 519) = ( 576 x 519 ) / 99648

GCD(576, 519) = 298944 / 99648

GCD(576, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 712

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

LCM(3, 712) = 2136

GCD(3, 712) = ( 3 x 712 ) / 2136

GCD(3, 712) = 2136 / 2136

GCD(3, 712) = 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 576, 519, 712, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 436, 159, 578
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• GCD of 647, 430, 815, 362

1. What is the GCD of 576, 519, 712, 272?

GCD of 576, 519, 712, 272 is 1

2. Where do I get the detailed procedure to find GCD of 576, 519, 712, 272?

You can find a detailed procedure to find GCD of 576, 519, 712, 272 on our page.

3. How to find GCD of 576, 519, 712, 272 on a calculator?

You can find the GCD of 576, 519, 712, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.