GCD of 717, 238, 14, 589 Calculator

Given Input numbers are 717, 238, 14, 589

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 717, 238, 14, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 238, 14, 589 is 1.

Therefore, GCD of numbers 717, 238, 14, 589 is 1

Given Input Data is 717, 238, 14, 589

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 589 is 19 x 31

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, 238) = 170646

GCD(717, 238) = ( 717 x 238 ) / 170646

GCD(717, 238) = 170646 / 170646

GCD(717, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 717, 238, 14, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 102, 80, 333
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1. What is the GCD of 717, 238, 14, 589?

GCD of 717, 238, 14, 589 is 1

2. Where do I get the detailed procedure to find GCD of 717, 238, 14, 589?

You can find a detailed procedure to find GCD of 717, 238, 14, 589 on our page.

3. How to find GCD of 717, 238, 14, 589 on a calculator?

You can find the GCD of 717, 238, 14, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.