GCD of 309, 441, 96, 804 Calculator

Given Input numbers are 309, 441, 96, 804

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 309, 441, 96, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 441, 96, 804 is 3.

Therefore, GCD of numbers 309, 441, 96, 804 is 3

Given Input Data is 309, 441, 96, 804

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 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(309, 441) = 45423

GCD(309, 441) = ( 309 x 441 ) / 45423

GCD(309, 441) = 136269 / 45423

GCD(309, 441) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 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 309, 441, 96, 804 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 481, 99, 607
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• GCD of 772, 759, 83, 189
• GCD of 456, 433, 73, 385
• GCD of 817, 886, 38, 502

1. What is the GCD of 309, 441, 96, 804?

GCD of 309, 441, 96, 804 is 3

2. Where do I get the detailed procedure to find GCD of 309, 441, 96, 804?

You can find a detailed procedure to find GCD of 309, 441, 96, 804 on our page.

3. How to find GCD of 309, 441, 96, 804 on a calculator?

You can find the GCD of 309, 441, 96, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.