GCD of 829, 173, 256, 996 Calculator

Given Input numbers are 829, 173, 256, 996

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 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 829, 173, 256, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 173, 256, 996 is 1.

Therefore, GCD of numbers 829, 173, 256, 996 is 1

Given Input Data is 829, 173, 256, 996

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

Prime Factorization of 829 is 829

Prime Factorization of 173 is 173

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 173) = 143417

GCD(829, 173) = ( 829 x 173 ) / 143417

GCD(829, 173) = 143417 / 143417

GCD(829, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 829, 173, 256, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 733, 829, 704
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• GCD of 999, 860, 293, 444

1. What is the GCD of 829, 173, 256, 996?

GCD of 829, 173, 256, 996 is 1

2. Where do I get the detailed procedure to find GCD of 829, 173, 256, 996?

You can find a detailed procedure to find GCD of 829, 173, 256, 996 on our page.

3. How to find GCD of 829, 173, 256, 996 on a calculator?

You can find the GCD of 829, 173, 256, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.