GCD of 855, 807, 53, 204 Calculator

Given Input numbers are 855, 807, 53, 204

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 855, 807, 53, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 807, 53, 204 is 1.

Therefore, GCD of numbers 855, 807, 53, 204 is 1

Given Input Data is 855, 807, 53, 204

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 807 is 3 x 269

Prime Factorization of 53 is 53

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(855, 807) = 229995

GCD(855, 807) = ( 855 x 807 ) / 229995

GCD(855, 807) = 689985 / 229995

GCD(855, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 855, 807, 53, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 690, 70, 286
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1. What is the GCD of 855, 807, 53, 204?

GCD of 855, 807, 53, 204 is 1

2. Where do I get the detailed procedure to find GCD of 855, 807, 53, 204?

You can find a detailed procedure to find GCD of 855, 807, 53, 204 on our page.

3. How to find GCD of 855, 807, 53, 204 on a calculator?

You can find the GCD of 855, 807, 53, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.