GCD of 717, 303, 18, 338 Calculator

Given Input numbers are 717, 303, 18, 338

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 717, 303, 18, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 303, 18, 338 is 1.

Therefore, GCD of numbers 717, 303, 18, 338 is 1

Given Input Data is 717, 303, 18, 338

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 303 is 3 x 101

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 338 is 2 x 13 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(717, 303) = 72417

GCD(717, 303) = ( 717 x 303 ) / 72417

GCD(717, 303) = 217251 / 72417

GCD(717, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

GCD of 717, 303, 18, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 914, 60, 773
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• GCD of 129, 369, 24, 706
• GCD of 366, 405, 54, 214

1. What is the GCD of 717, 303, 18, 338?

GCD of 717, 303, 18, 338 is 1

2. Where do I get the detailed procedure to find GCD of 717, 303, 18, 338?

You can find a detailed procedure to find GCD of 717, 303, 18, 338 on our page.

3. How to find GCD of 717, 303, 18, 338 on a calculator?

You can find the GCD of 717, 303, 18, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.