GCD of 204, 102, 78, 853 Calculator

Given Input numbers are 204, 102, 78, 853

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 204, 102, 78, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 102, 78, 853 is 1.

Therefore, GCD of numbers 204, 102, 78, 853 is 1

Given Input Data is 204, 102, 78, 853

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 102 is 2 x 3 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 853 is 853

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, 102) = 204

GCD(204, 102) = ( 204 x 102 ) / 204

GCD(204, 102) = 20808 / 204

GCD(204, 102) = 102

Step2:

Here we consider the GCD from the above i.e. 102 as first number and the next as 78

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

LCM(102, 78) = 1326

GCD(102, 78) = ( 102 x 78 ) / 1326

GCD(102, 78) = 7956 / 1326

GCD(102, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 853

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

LCM(6, 853) = 5118

GCD(6, 853) = ( 6 x 853 ) / 5118

GCD(6, 853) = 5118 / 5118

GCD(6, 853) = 1

GCD of 204, 102, 78, 853 is 1

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1. What is the GCD of 204, 102, 78, 853?

GCD of 204, 102, 78, 853 is 1

2. Where do I get the detailed procedure to find GCD of 204, 102, 78, 853?

You can find a detailed procedure to find GCD of 204, 102, 78, 853 on our page.

3. How to find GCD of 204, 102, 78, 853 on a calculator?

You can find the GCD of 204, 102, 78, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.