GCD of 204, 925, 27, 747 Calculator

Given Input numbers are 204, 925, 27, 747

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 27

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

1, 3, 9, 27

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 204, 925, 27, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 925, 27, 747 is 1.

Therefore, GCD of numbers 204, 925, 27, 747 is 1

Given Input Data is 204, 925, 27, 747

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 747 is 3 x 3 x 83

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(204, 925) = 188700

GCD(204, 925) = ( 204 x 925 ) / 188700

GCD(204, 925) = 188700 / 188700

GCD(204, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 204, 925, 27, 747 is 1

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1. What is the GCD of 204, 925, 27, 747?

GCD of 204, 925, 27, 747 is 1

2. Where do I get the detailed procedure to find GCD of 204, 925, 27, 747?

You can find a detailed procedure to find GCD of 204, 925, 27, 747 on our page.

3. How to find GCD of 204, 925, 27, 747 on a calculator?

You can find the GCD of 204, 925, 27, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.