GCD of 204, 382, 284, 600 Calculator

Given Input numbers are 204, 382, 284, 600

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 204, 382, 284, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 382, 284, 600 is 2.

Therefore, GCD of numbers 204, 382, 284, 600 is 2

Given Input Data is 204, 382, 284, 600

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 382 is 2 x 191

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 382) = 38964

GCD(204, 382) = ( 204 x 382 ) / 38964

GCD(204, 382) = 77928 / 38964

GCD(204, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 204, 382, 284, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 185, 754, 328
• GCD of 409, 715, 148, 577
• GCD of 924, 800, 582, 320
• GCD of 121, 713, 211, 264
• GCD of 246, 766, 612, 459

1. What is the GCD of 204, 382, 284, 600?

GCD of 204, 382, 284, 600 is 2

2. Where do I get the detailed procedure to find GCD of 204, 382, 284, 600?

You can find a detailed procedure to find GCD of 204, 382, 284, 600 on our page.

3. How to find GCD of 204, 382, 284, 600 on a calculator?

You can find the GCD of 204, 382, 284, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.