GCD of 398, 717, 589, 955 Calculator

Given Input numbers are 398, 717, 589, 955

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 717

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

1, 3, 239, 717

Divisors of 589

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

1, 19, 31, 589

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 398, 717, 589, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 717, 589, 955 is 1.

Therefore, GCD of numbers 398, 717, 589, 955 is 1

Given Input Data is 398, 717, 589, 955

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 717 is 3 x 239

Prime Factorization of 589 is 19 x 31

Prime Factorization of 955 is 5 x 191

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(398, 717) = 285366

GCD(398, 717) = ( 398 x 717 ) / 285366

GCD(398, 717) = 285366 / 285366

GCD(398, 717) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 398, 717, 589, 955 is 1

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1. What is the GCD of 398, 717, 589, 955?

GCD of 398, 717, 589, 955 is 1

2. Where do I get the detailed procedure to find GCD of 398, 717, 589, 955?

You can find a detailed procedure to find GCD of 398, 717, 589, 955 on our page.

3. How to find GCD of 398, 717, 589, 955 on a calculator?

You can find the GCD of 398, 717, 589, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.