GCD of 12, 276, 369, 683 Calculator

Given Input numbers are 12, 276, 369, 683

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 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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 12, 276, 369, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 276, 369, 683 is 1.

Therefore, GCD of numbers 12, 276, 369, 683 is 1

Given Input Data is 12, 276, 369, 683

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 683 is 683

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, 276) = 276

GCD(12, 276) = ( 12 x 276 ) / 276

GCD(12, 276) = 3312 / 276

GCD(12, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 369

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

LCM(12, 369) = 1476

GCD(12, 369) = ( 12 x 369 ) / 1476

GCD(12, 369) = 4428 / 1476

GCD(12, 369) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 683

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

LCM(3, 683) = 2049

GCD(3, 683) = ( 3 x 683 ) / 2049

GCD(3, 683) = 2049 / 2049

GCD(3, 683) = 1

GCD of 12, 276, 369, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 897, 641, 192
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1. What is the GCD of 12, 276, 369, 683?

GCD of 12, 276, 369, 683 is 1

2. Where do I get the detailed procedure to find GCD of 12, 276, 369, 683?

You can find a detailed procedure to find GCD of 12, 276, 369, 683 on our page.

3. How to find GCD of 12, 276, 369, 683 on a calculator?

You can find the GCD of 12, 276, 369, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.