GCD of 804, 111, 12, 276 Calculator

Given Input numbers are 804, 111, 12, 276

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 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 804, 111, 12, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 111, 12, 276 is 3.

Therefore, GCD of numbers 804, 111, 12, 276 is 3

Given Input Data is 804, 111, 12, 276

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 111 is 3 x 37

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 276 is 2 x 2 x 3 x 23

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, 111) = 29748

GCD(804, 111) = ( 804 x 111 ) / 29748

GCD(804, 111) = 89244 / 29748

GCD(804, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 276

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

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

GCD(3, 276) = 828 / 276

GCD(3, 276) = 3

GCD of 804, 111, 12, 276 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 140, 19, 422
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• GCD of 528, 121, 57, 273
• GCD of 449, 228, 62, 346
• GCD of 714, 472, 68, 727

1. What is the GCD of 804, 111, 12, 276?

GCD of 804, 111, 12, 276 is 3

2. Where do I get the detailed procedure to find GCD of 804, 111, 12, 276?

You can find a detailed procedure to find GCD of 804, 111, 12, 276 on our page.

3. How to find GCD of 804, 111, 12, 276 on a calculator?

You can find the GCD of 804, 111, 12, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.