GCD of 317, 884, 867, 217 Calculator

Given Input numbers are 317, 884, 867, 217

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

Divisors of 317

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

1, 317

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 317, 884, 867, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 884, 867, 217 is 1.

Therefore, GCD of numbers 317, 884, 867, 217 is 1

Given Input Data is 317, 884, 867, 217

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

Prime Factorization of 317 is 317

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 217 is 7 x 31

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(317, 884) = 280228

GCD(317, 884) = ( 317 x 884 ) / 280228

GCD(317, 884) = 280228 / 280228

GCD(317, 884) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 317, 884, 867, 217 is 1

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1. What is the GCD of 317, 884, 867, 217?

GCD of 317, 884, 867, 217 is 1

2. Where do I get the detailed procedure to find GCD of 317, 884, 867, 217?

You can find a detailed procedure to find GCD of 317, 884, 867, 217 on our page.

3. How to find GCD of 317, 884, 867, 217 on a calculator?

You can find the GCD of 317, 884, 867, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.