GCD of 204, 378, 215, 876 Calculator

Given Input numbers are 204, 378, 215, 876

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 204, 378, 215, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 378, 215, 876 is 1.

Therefore, GCD of numbers 204, 378, 215, 876 is 1

Given Input Data is 204, 378, 215, 876

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 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 215 is 5 x 43

Prime Factorization of 876 is 2 x 2 x 3 x 73

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, 378) = 12852

GCD(204, 378) = ( 204 x 378 ) / 12852

GCD(204, 378) = 77112 / 12852

GCD(204, 378) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 215

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

LCM(6, 215) = 1290

GCD(6, 215) = ( 6 x 215 ) / 1290

GCD(6, 215) = 1290 / 1290

GCD(6, 215) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 204, 378, 215, 876 is 1

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1. What is the GCD of 204, 378, 215, 876?

GCD of 204, 378, 215, 876 is 1

2. Where do I get the detailed procedure to find GCD of 204, 378, 215, 876?

You can find a detailed procedure to find GCD of 204, 378, 215, 876 on our page.

3. How to find GCD of 204, 378, 215, 876 on a calculator?

You can find the GCD of 204, 378, 215, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.