GCD of 12, 207, 199, 279 Calculator

Given Input numbers are 12, 207, 199, 279

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 12, 207, 199, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 207, 199, 279 is 1.

Therefore, GCD of numbers 12, 207, 199, 279 is 1

Given Input Data is 12, 207, 199, 279

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 207 is 3 x 3 x 23

Prime Factorization of 199 is 199

Prime Factorization of 279 is 3 x 3 x 31

The above numbers do not have any common prime factor. So GCD is 1

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, 207) = 828

GCD(12, 207) = ( 12 x 207 ) / 828

GCD(12, 207) = 2484 / 828

GCD(12, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 12, 207, 199, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 829, 880, 551
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• GCD of 94, 981, 373, 140

1. What is the GCD of 12, 207, 199, 279?

GCD of 12, 207, 199, 279 is 1

2. Where do I get the detailed procedure to find GCD of 12, 207, 199, 279?

You can find a detailed procedure to find GCD of 12, 207, 199, 279 on our page.

3. How to find GCD of 12, 207, 199, 279 on a calculator?

You can find the GCD of 12, 207, 199, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.