GCD of 204, 414, 14, 813 Calculator

Given Input numbers are 204, 414, 14, 813

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 204, 414, 14, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 414, 14, 813 is 1.

Therefore, GCD of numbers 204, 414, 14, 813 is 1

Given Input Data is 204, 414, 14, 813

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 14 is 2 x 7

Prime Factorization of 813 is 3 x 271

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, 414) = 14076

GCD(204, 414) = ( 204 x 414 ) / 14076

GCD(204, 414) = 84456 / 14076

GCD(204, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

GCD of 204, 414, 14, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 242, 45, 764
• GCD of 223, 514, 92, 381
• GCD of 227, 477, 24, 898
• GCD of 182, 437, 28, 770
• GCD of 433, 257, 83, 260

1. What is the GCD of 204, 414, 14, 813?

GCD of 204, 414, 14, 813 is 1

2. Where do I get the detailed procedure to find GCD of 204, 414, 14, 813?

You can find a detailed procedure to find GCD of 204, 414, 14, 813 on our page.

3. How to find GCD of 204, 414, 14, 813 on a calculator?

You can find the GCD of 204, 414, 14, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.