GCD of 349, 230, 828, 717 Calculator

Given Input numbers are 349, 230, 828, 717

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 349, 230, 828, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 230, 828, 717 is 1.

Therefore, GCD of numbers 349, 230, 828, 717 is 1

Given Input Data is 349, 230, 828, 717

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

Prime Factorization of 349 is 349

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(349, 230) = 80270

GCD(349, 230) = ( 349 x 230 ) / 80270

GCD(349, 230) = 80270 / 80270

GCD(349, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 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 349, 230, 828, 717 is 1

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1. What is the GCD of 349, 230, 828, 717?

GCD of 349, 230, 828, 717 is 1

2. Where do I get the detailed procedure to find GCD of 349, 230, 828, 717?

You can find a detailed procedure to find GCD of 349, 230, 828, 717 on our page.

3. How to find GCD of 349, 230, 828, 717 on a calculator?

You can find the GCD of 349, 230, 828, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.