GCD of 317, 583, 917, 916 Calculator

Given Input numbers are 317, 583, 917, 916

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 317, 583, 917, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 583, 917, 916 is 1.

Therefore, GCD of numbers 317, 583, 917, 916 is 1

Given Input Data is 317, 583, 917, 916

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

Prime Factorization of 317 is 317

Prime Factorization of 583 is 11 x 53

Prime Factorization of 917 is 7 x 131

Prime Factorization of 916 is 2 x 2 x 229

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, 583) = 184811

GCD(317, 583) = ( 317 x 583 ) / 184811

GCD(317, 583) = 184811 / 184811

GCD(317, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 317, 583, 917, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 923, 555, 271
• GCD of 364, 754, 290, 459
• GCD of 194, 481, 235, 431
• GCD of 447, 797, 243, 826
• GCD of 157, 954, 373, 272

1. What is the GCD of 317, 583, 917, 916?

GCD of 317, 583, 917, 916 is 1

2. Where do I get the detailed procedure to find GCD of 317, 583, 917, 916?

You can find a detailed procedure to find GCD of 317, 583, 917, 916 on our page.

3. How to find GCD of 317, 583, 917, 916 on a calculator?

You can find the GCD of 317, 583, 917, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.