GCD of 321, 408, 81, 804 Calculator

Given Input numbers are 321, 408, 81, 804

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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

Greatest Common Divisior

We found the divisors of 321, 408, 81, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 408, 81, 804 is 3.

Therefore, GCD of numbers 321, 408, 81, 804 is 3

Given Input Data is 321, 408, 81, 804

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

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

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(321, 408) = 43656

GCD(321, 408) = ( 321 x 408 ) / 43656

GCD(321, 408) = 130968 / 43656

GCD(321, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

GCD of 321, 408, 81, 804 is 3

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1. What is the GCD of 321, 408, 81, 804?

GCD of 321, 408, 81, 804 is 3

2. Where do I get the detailed procedure to find GCD of 321, 408, 81, 804?

You can find a detailed procedure to find GCD of 321, 408, 81, 804 on our page.

3. How to find GCD of 321, 408, 81, 804 on a calculator?

You can find the GCD of 321, 408, 81, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.