GCD of 204, 892, 84, 367 Calculator

Given Input numbers are 204, 892, 84, 367

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 204, 892, 84, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 892, 84, 367 is 1.

Therefore, GCD of numbers 204, 892, 84, 367 is 1

Given Input Data is 204, 892, 84, 367

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 892 is 2 x 2 x 223

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 367 is 367

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, 892) = 45492

GCD(204, 892) = ( 204 x 892 ) / 45492

GCD(204, 892) = 181968 / 45492

GCD(204, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 367

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

LCM(4, 367) = 1468

GCD(4, 367) = ( 4 x 367 ) / 1468

GCD(4, 367) = 1468 / 1468

GCD(4, 367) = 1

GCD of 204, 892, 84, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 763, 28, 952
• GCD of 225, 305, 90, 761
• GCD of 444, 189, 29, 315
• GCD of 308, 258, 48, 848
• GCD of 801, 411, 46, 964

1. What is the GCD of 204, 892, 84, 367?

GCD of 204, 892, 84, 367 is 1

2. Where do I get the detailed procedure to find GCD of 204, 892, 84, 367?

You can find a detailed procedure to find GCD of 204, 892, 84, 367 on our page.

3. How to find GCD of 204, 892, 84, 367 on a calculator?

You can find the GCD of 204, 892, 84, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.