GCD of 828, 317, 52, 447 Calculator

Given Input numbers are 828, 317, 52, 447

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 828, 317, 52, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 317, 52, 447 is 1.

Therefore, GCD of numbers 828, 317, 52, 447 is 1

Given Input Data is 828, 317, 52, 447

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 317 is 317

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 447 is 3 x 149

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(828, 317) = 262476

GCD(828, 317) = ( 828 x 317 ) / 262476

GCD(828, 317) = 262476 / 262476

GCD(828, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 828, 317, 52, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 439, 43, 868
• GCD of 813, 752, 27, 214
• GCD of 470, 850, 29, 352
• GCD of 492, 493, 80, 560
• GCD of 822, 181, 49, 947

1. What is the GCD of 828, 317, 52, 447?

GCD of 828, 317, 52, 447 is 1

2. Where do I get the detailed procedure to find GCD of 828, 317, 52, 447?

You can find a detailed procedure to find GCD of 828, 317, 52, 447 on our page.

3. How to find GCD of 828, 317, 52, 447 on a calculator?

You can find the GCD of 828, 317, 52, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.