GCD of 696, 472, 17, 317 Calculator

Given Input numbers are 696, 472, 17, 317

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 317

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

1, 317

Greatest Common Divisior

We found the divisors of 696, 472, 17, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 472, 17, 317 is 1.

Therefore, GCD of numbers 696, 472, 17, 317 is 1

Given Input Data is 696, 472, 17, 317

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 17 is 17

Prime Factorization of 317 is 317

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(696, 472) = 41064

GCD(696, 472) = ( 696 x 472 ) / 41064

GCD(696, 472) = 328512 / 41064

GCD(696, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 17

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

LCM(8, 17) = 136

GCD(8, 17) = ( 8 x 17 ) / 136

GCD(8, 17) = 136 / 136

GCD(8, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 696, 472, 17, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 458, 96, 270
• GCD of 588, 567, 92, 811
• GCD of 569, 221, 16, 557
• GCD of 444, 156, 95, 319
• GCD of 225, 789, 89, 479

1. What is the GCD of 696, 472, 17, 317?

GCD of 696, 472, 17, 317 is 1

2. Where do I get the detailed procedure to find GCD of 696, 472, 17, 317?

You can find a detailed procedure to find GCD of 696, 472, 17, 317 on our page.

3. How to find GCD of 696, 472, 17, 317 on a calculator?

You can find the GCD of 696, 472, 17, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.