GCD of 431, 923, 12, 478 Calculator

Given Input numbers are 431, 923, 12, 478

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 431, 923, 12, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 923, 12, 478 is 1.

Therefore, GCD of numbers 431, 923, 12, 478 is 1

Given Input Data is 431, 923, 12, 478

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

Prime Factorization of 431 is 431

Prime Factorization of 923 is 13 x 71

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 478 is 2 x 239

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(431, 923) = 397813

GCD(431, 923) = ( 431 x 923 ) / 397813

GCD(431, 923) = 397813 / 397813

GCD(431, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 431, 923, 12, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 920, 23, 269
• GCD of 749, 503, 66, 227
• GCD of 107, 478, 79, 961
• GCD of 654, 653, 36, 727
• GCD of 282, 239, 26, 556

1. What is the GCD of 431, 923, 12, 478?

GCD of 431, 923, 12, 478 is 1

2. Where do I get the detailed procedure to find GCD of 431, 923, 12, 478?

You can find a detailed procedure to find GCD of 431, 923, 12, 478 on our page.

3. How to find GCD of 431, 923, 12, 478 on a calculator?

You can find the GCD of 431, 923, 12, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.