GCD of 12, 792, 206, 444 Calculator

Given Input numbers are 12, 792, 206, 444

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 12, 792, 206, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 792, 206, 444 is 2.

Therefore, GCD of numbers 12, 792, 206, 444 is 2

Given Input Data is 12, 792, 206, 444

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 206 is 2 x 103

Prime Factorization of 444 is 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(12, 792) = 792

GCD(12, 792) = ( 12 x 792 ) / 792

GCD(12, 792) = 9504 / 792

GCD(12, 792) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 206

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

LCM(12, 206) = 1236

GCD(12, 206) = ( 12 x 206 ) / 1236

GCD(12, 206) = 2472 / 1236

GCD(12, 206) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 12, 792, 206, 444 is 2

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1. What is the GCD of 12, 792, 206, 444?

GCD of 12, 792, 206, 444 is 2

2. Where do I get the detailed procedure to find GCD of 12, 792, 206, 444?

You can find a detailed procedure to find GCD of 12, 792, 206, 444 on our page.

3. How to find GCD of 12, 792, 206, 444 on a calculator?

You can find the GCD of 12, 792, 206, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.