GCD of 27, 576, 556, 725 Calculator

Given Input numbers are 27, 576, 556, 725

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 27, 576, 556, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 576, 556, 725 is 1.

Therefore, GCD of numbers 27, 576, 556, 725 is 1

Given Input Data is 27, 576, 556, 725

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

Prime Factorization of 27 is 3 x 3 x 3

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 725 is 5 x 5 x 29

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(27, 576) = 1728

GCD(27, 576) = ( 27 x 576 ) / 1728

GCD(27, 576) = 15552 / 1728

GCD(27, 576) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 556

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

LCM(9, 556) = 5004

GCD(9, 556) = ( 9 x 556 ) / 5004

GCD(9, 556) = 5004 / 5004

GCD(9, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 27, 576, 556, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 384, 548, 940
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• GCD of 10, 730, 619, 127
• GCD of 41, 241, 789, 520

1. What is the GCD of 27, 576, 556, 725?

GCD of 27, 576, 556, 725 is 1

2. Where do I get the detailed procedure to find GCD of 27, 576, 556, 725?

You can find a detailed procedure to find GCD of 27, 576, 556, 725 on our page.

3. How to find GCD of 27, 576, 556, 725 on a calculator?

You can find the GCD of 27, 576, 556, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.