GCD of 804, 459, 861 Calculator

Given Input numbers are 804, 459, 861

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 804, 459, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 459, 861 is 3.

Therefore, GCD of numbers 804, 459, 861 is 3

Given Input Data is 804, 459, 861

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 861 is 3 x 7 x 41

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(804, 459) = 123012

GCD(804, 459) = ( 804 x 459 ) / 123012

GCD(804, 459) = 369036 / 123012

GCD(804, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 861

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

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

GCD(3, 861) = 2583 / 861

GCD(3, 861) = 3

GCD of 804, 459, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 207, 417
• GCD of 965, 674, 256
• GCD of 993, 812, 732
• GCD of 812, 519, 374
• GCD of 410, 555, 894

1. What is the GCD of 804, 459, 861?

GCD of 804, 459, 861 is 3

2. Where do I get the detailed procedure to find GCD of 804, 459, 861?

You can find a detailed procedure to find GCD of 804, 459, 861 on our page.

3. How to find GCD of 804, 459, 861 on a calculator?

You can find the GCD of 804, 459, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.