GCD of 298, 559, 392 Calculator

Given Input numbers are 298, 559, 392

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 298, 559, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 559, 392 is 1.

Therefore, GCD of numbers 298, 559, 392 is 1

Given Input Data is 298, 559, 392

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 559 is 13 x 43

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(298, 559) = 166582

GCD(298, 559) = ( 298 x 559 ) / 166582

GCD(298, 559) = 166582 / 166582

GCD(298, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 298, 559, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 491, 757
• GCD of 616, 253, 831
• GCD of 748, 138, 848
• GCD of 596, 818, 864
• GCD of 144, 453, 324

1. What is the GCD of 298, 559, 392?

GCD of 298, 559, 392 is 1

2. Where do I get the detailed procedure to find GCD of 298, 559, 392?

You can find a detailed procedure to find GCD of 298, 559, 392 on our page.

3. How to find GCD of 298, 559, 392 on a calculator?

You can find the GCD of 298, 559, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.