GCD of 829, 813, 112, 339 Calculator

Given Input numbers are 829, 813, 112, 339

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

Divisors of 829

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

1, 829

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 829, 813, 112, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 813, 112, 339 is 1.

Therefore, GCD of numbers 829, 813, 112, 339 is 1

Given Input Data is 829, 813, 112, 339

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

Prime Factorization of 829 is 829

Prime Factorization of 813 is 3 x 271

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 339 is 3 x 113

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(829, 813) = 673977

GCD(829, 813) = ( 829 x 813 ) / 673977

GCD(829, 813) = 673977 / 673977

GCD(829, 813) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 829, 813, 112, 339 is 1

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1. What is the GCD of 829, 813, 112, 339?

GCD of 829, 813, 112, 339 is 1

2. Where do I get the detailed procedure to find GCD of 829, 813, 112, 339?

You can find a detailed procedure to find GCD of 829, 813, 112, 339 on our page.

3. How to find GCD of 829, 813, 112, 339 on a calculator?

You can find the GCD of 829, 813, 112, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.