GCD of 759, 798, 232, 717 Calculator

Given Input numbers are 759, 798, 232, 717

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 717

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

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 759, 798, 232, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 798, 232, 717 is 1.

Therefore, GCD of numbers 759, 798, 232, 717 is 1

Given Input Data is 759, 798, 232, 717

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 717 is 3 x 239

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(759, 798) = 201894

GCD(759, 798) = ( 759 x 798 ) / 201894

GCD(759, 798) = 605682 / 201894

GCD(759, 798) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 232

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

LCM(3, 232) = 696

GCD(3, 232) = ( 3 x 232 ) / 696

GCD(3, 232) = 696 / 696

GCD(3, 232) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 759, 798, 232, 717 is 1

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1. What is the GCD of 759, 798, 232, 717?

GCD of 759, 798, 232, 717 is 1

2. Where do I get the detailed procedure to find GCD of 759, 798, 232, 717?

You can find a detailed procedure to find GCD of 759, 798, 232, 717 on our page.

3. How to find GCD of 759, 798, 232, 717 on a calculator?

You can find the GCD of 759, 798, 232, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.