GCD of 12, 638, 497, 184 Calculator

Given Input numbers are 12, 638, 497, 184

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 12, 638, 497, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 638, 497, 184 is 1.

Therefore, GCD of numbers 12, 638, 497, 184 is 1

Given Input Data is 12, 638, 497, 184

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 638 is 2 x 11 x 29

Prime Factorization of 497 is 7 x 71

Prime Factorization of 184 is 2 x 2 x 2 x 23

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, 638) = 3828

GCD(12, 638) = ( 12 x 638 ) / 3828

GCD(12, 638) = 7656 / 3828

GCD(12, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 12, 638, 497, 184 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 529, 735, 163
• GCD of 40, 923, 638, 595
• GCD of 53, 563, 337, 171
• GCD of 29, 147, 161, 856
• GCD of 20, 497, 194, 300

1. What is the GCD of 12, 638, 497, 184?

GCD of 12, 638, 497, 184 is 1

2. Where do I get the detailed procedure to find GCD of 12, 638, 497, 184?

You can find a detailed procedure to find GCD of 12, 638, 497, 184 on our page.

3. How to find GCD of 12, 638, 497, 184 on a calculator?

You can find the GCD of 12, 638, 497, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.