GCD of 204, 260, 471, 254 Calculator

Given Input numbers are 204, 260, 471, 254

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 204, 260, 471, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 260, 471, 254 is 1.

Therefore, GCD of numbers 204, 260, 471, 254 is 1

Given Input Data is 204, 260, 471, 254

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 260 is 2 x 2 x 5 x 13

Prime Factorization of 471 is 3 x 157

Prime Factorization of 254 is 2 x 127

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, 260) = 13260

GCD(204, 260) = ( 204 x 260 ) / 13260

GCD(204, 260) = 53040 / 13260

GCD(204, 260) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 471

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

LCM(4, 471) = 1884

GCD(4, 471) = ( 4 x 471 ) / 1884

GCD(4, 471) = 1884 / 1884

GCD(4, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 204, 260, 471, 254 is 1

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• GCD of 337, 135, 795, 466
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1. What is the GCD of 204, 260, 471, 254?

GCD of 204, 260, 471, 254 is 1

2. Where do I get the detailed procedure to find GCD of 204, 260, 471, 254?

You can find a detailed procedure to find GCD of 204, 260, 471, 254 on our page.

3. How to find GCD of 204, 260, 471, 254 on a calculator?

You can find the GCD of 204, 260, 471, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.