GCD of 12, 856, 829, 696 Calculator

Given Input numbers are 12, 856, 829, 696

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 12, 856, 829, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 856, 829, 696 is 1.

Therefore, GCD of numbers 12, 856, 829, 696 is 1

Given Input Data is 12, 856, 829, 696

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 856 is 2 x 2 x 2 x 107

Prime Factorization of 829 is 829

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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, 856) = 2568

GCD(12, 856) = ( 12 x 856 ) / 2568

GCD(12, 856) = 10272 / 2568

GCD(12, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 829

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

LCM(4, 829) = 3316

GCD(4, 829) = ( 4 x 829 ) / 3316

GCD(4, 829) = 3316 / 3316

GCD(4, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 12, 856, 829, 696 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 35, 254, 563, 319

1. What is the GCD of 12, 856, 829, 696?

GCD of 12, 856, 829, 696 is 1

2. Where do I get the detailed procedure to find GCD of 12, 856, 829, 696?

You can find a detailed procedure to find GCD of 12, 856, 829, 696 on our page.

3. How to find GCD of 12, 856, 829, 696 on a calculator?

You can find the GCD of 12, 856, 829, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.