GCD of 398, 579, 338 Calculator

Given Input numbers are 398, 579, 338

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 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

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 398, 579, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 579, 338 is 1.

Therefore, GCD of numbers 398, 579, 338 is 1

Given Input Data is 398, 579, 338

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 579 is 3 x 193

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(398, 579) = 230442

GCD(398, 579) = ( 398 x 579 ) / 230442

GCD(398, 579) = 230442 / 230442

GCD(398, 579) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 398, 579, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 587, 193
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• GCD of 217, 370, 183
• GCD of 139, 210, 433

1. What is the GCD of 398, 579, 338?

GCD of 398, 579, 338 is 1

2. Where do I get the detailed procedure to find GCD of 398, 579, 338?

You can find a detailed procedure to find GCD of 398, 579, 338 on our page.

3. How to find GCD of 398, 579, 338 on a calculator?

You can find the GCD of 398, 579, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.