GCD of 204, 577, 576, 660 Calculator

Given Input numbers are 204, 577, 576, 660

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 204, 577, 576, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 577, 576, 660 is 1.

Therefore, GCD of numbers 204, 577, 576, 660 is 1

Given Input Data is 204, 577, 576, 660

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 577 is 577

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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, 577) = 117708

GCD(204, 577) = ( 204 x 577 ) / 117708

GCD(204, 577) = 117708 / 117708

GCD(204, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 204, 577, 576, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 212, 826, 446
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• GCD of 436, 665, 272, 980

1. What is the GCD of 204, 577, 576, 660?

GCD of 204, 577, 576, 660 is 1

2. Where do I get the detailed procedure to find GCD of 204, 577, 576, 660?

You can find a detailed procedure to find GCD of 204, 577, 576, 660 on our page.

3. How to find GCD of 204, 577, 576, 660 on a calculator?

You can find the GCD of 204, 577, 576, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.