GCD of 759, 300, 866, 204 Calculator

Given Input numbers are 759, 300, 866, 204

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 759, 300, 866, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 300, 866, 204 is 1.

Therefore, GCD of numbers 759, 300, 866, 204 is 1

Given Input Data is 759, 300, 866, 204

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 866 is 2 x 433

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(759, 300) = 75900

GCD(759, 300) = ( 759 x 300 ) / 75900

GCD(759, 300) = 227700 / 75900

GCD(759, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 866

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

LCM(3, 866) = 2598

GCD(3, 866) = ( 3 x 866 ) / 2598

GCD(3, 866) = 2598 / 2598

GCD(3, 866) = 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 759, 300, 866, 204 is 1

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1. What is the GCD of 759, 300, 866, 204?

GCD of 759, 300, 866, 204 is 1

2. Where do I get the detailed procedure to find GCD of 759, 300, 866, 204?

You can find a detailed procedure to find GCD of 759, 300, 866, 204 on our page.

3. How to find GCD of 759, 300, 866, 204 on a calculator?

You can find the GCD of 759, 300, 866, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.