GCD of 204, 630, 21, 143 Calculator

Given Input numbers are 204, 630, 21, 143

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 204, 630, 21, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 630, 21, 143 is 1.

Therefore, GCD of numbers 204, 630, 21, 143 is 1

Given Input Data is 204, 630, 21, 143

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 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 143 is 11 x 13

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, 630) = 21420

GCD(204, 630) = ( 204 x 630 ) / 21420

GCD(204, 630) = 128520 / 21420

GCD(204, 630) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 21

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

LCM(6, 21) = 42

GCD(6, 21) = ( 6 x 21 ) / 42

GCD(6, 21) = 126 / 42

GCD(6, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 143

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

LCM(3, 143) = 429

GCD(3, 143) = ( 3 x 143 ) / 429

GCD(3, 143) = 429 / 429

GCD(3, 143) = 1

GCD of 204, 630, 21, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 305, 96, 887
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• GCD of 644, 221, 70, 790
• GCD of 428, 311, 29, 674

1. What is the GCD of 204, 630, 21, 143?

GCD of 204, 630, 21, 143 is 1

2. Where do I get the detailed procedure to find GCD of 204, 630, 21, 143?

You can find a detailed procedure to find GCD of 204, 630, 21, 143 on our page.

3. How to find GCD of 204, 630, 21, 143 on a calculator?

You can find the GCD of 204, 630, 21, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.