GCD of 204, 223, 189, 498 Calculator

Given Input numbers are 204, 223, 189, 498

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 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 204, 223, 189, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 223, 189, 498 is 1.

Therefore, GCD of numbers 204, 223, 189, 498 is 1

Given Input Data is 204, 223, 189, 498

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 223 is 223

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 498 is 2 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, 223) = 45492

GCD(204, 223) = ( 204 x 223 ) / 45492

GCD(204, 223) = 45492 / 45492

GCD(204, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 204, 223, 189, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 156, 233, 664
• GCD of 804, 541, 531, 769
• GCD of 500, 634, 273, 425
• GCD of 520, 202, 214, 956
• GCD of 459, 859, 672, 805

1. What is the GCD of 204, 223, 189, 498?

GCD of 204, 223, 189, 498 is 1

2. Where do I get the detailed procedure to find GCD of 204, 223, 189, 498?

You can find a detailed procedure to find GCD of 204, 223, 189, 498 on our page.

3. How to find GCD of 204, 223, 189, 498 on a calculator?

You can find the GCD of 204, 223, 189, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.