GCD of 317, 560, 29, 286 Calculator

Given Input numbers are 317, 560, 29, 286

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 317, 560, 29, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 560, 29, 286 is 1.

Therefore, GCD of numbers 317, 560, 29, 286 is 1

Given Input Data is 317, 560, 29, 286

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

Prime Factorization of 317 is 317

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 29 is 29

Prime Factorization of 286 is 2 x 11 x 13

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, 560) = 177520

GCD(317, 560) = ( 317 x 560 ) / 177520

GCD(317, 560) = 177520 / 177520

GCD(317, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 317, 560, 29, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 735, 72, 316
• GCD of 413, 409, 46, 480
• GCD of 692, 521, 20, 189
• GCD of 431, 123, 62, 651
• GCD of 130, 192, 42, 551

1. What is the GCD of 317, 560, 29, 286?

GCD of 317, 560, 29, 286 is 1

2. Where do I get the detailed procedure to find GCD of 317, 560, 29, 286?

You can find a detailed procedure to find GCD of 317, 560, 29, 286 on our page.

3. How to find GCD of 317, 560, 29, 286 on a calculator?

You can find the GCD of 317, 560, 29, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.