GCD of 225, 297, 31, 317 Calculator

Given Input numbers are 225, 297, 31, 317

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 225, 297, 31, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 297, 31, 317 is 1.

Therefore, GCD of numbers 225, 297, 31, 317 is 1

Given Input Data is 225, 297, 31, 317

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 31 is 31

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(225, 297) = 7425

GCD(225, 297) = ( 225 x 297 ) / 7425

GCD(225, 297) = 66825 / 7425

GCD(225, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 31

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

LCM(9, 31) = 279

GCD(9, 31) = ( 9 x 31 ) / 279

GCD(9, 31) = 279 / 279

GCD(9, 31) = 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 225, 297, 31, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 871, 92, 332
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• GCD of 542, 449, 68, 361

1. What is the GCD of 225, 297, 31, 317?

GCD of 225, 297, 31, 317 is 1

2. Where do I get the detailed procedure to find GCD of 225, 297, 31, 317?

You can find a detailed procedure to find GCD of 225, 297, 31, 317 on our page.

3. How to find GCD of 225, 297, 31, 317 on a calculator?

You can find the GCD of 225, 297, 31, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.