GCD of 204, 472, 354, 491 Calculator

Given Input numbers are 204, 472, 354, 491

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 204, 472, 354, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 472, 354, 491 is 1.

Therefore, GCD of numbers 204, 472, 354, 491 is 1

Given Input Data is 204, 472, 354, 491

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 491 is 491

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, 472) = 24072

GCD(204, 472) = ( 204 x 472 ) / 24072

GCD(204, 472) = 96288 / 24072

GCD(204, 472) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 354

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

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

GCD(4, 354) = 1416 / 708

GCD(4, 354) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

GCD of 204, 472, 354, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 808, 830, 727
• GCD of 633, 663, 511, 672
• GCD of 452, 354, 581, 777
• GCD of 446, 333, 828, 462
• GCD of 273, 265, 494, 308

1. What is the GCD of 204, 472, 354, 491?

GCD of 204, 472, 354, 491 is 1

2. Where do I get the detailed procedure to find GCD of 204, 472, 354, 491?

You can find a detailed procedure to find GCD of 204, 472, 354, 491 on our page.

3. How to find GCD of 204, 472, 354, 491 on a calculator?

You can find the GCD of 204, 472, 354, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.