GCD of 556, 298, 663 Calculator

Given Input numbers are 556, 298, 663

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 298

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

1, 2, 149, 298

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 556, 298, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 298, 663 is 1.

Therefore, GCD of numbers 556, 298, 663 is 1

Given Input Data is 556, 298, 663

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 298 is 2 x 149

Prime Factorization of 663 is 3 x 13 x 17

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(556, 298) = 82844

GCD(556, 298) = ( 556 x 298 ) / 82844

GCD(556, 298) = 165688 / 82844

GCD(556, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

GCD of 556, 298, 663 is 1

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1. What is the GCD of 556, 298, 663?

GCD of 556, 298, 663 is 1

2. Where do I get the detailed procedure to find GCD of 556, 298, 663?

You can find a detailed procedure to find GCD of 556, 298, 663 on our page.

3. How to find GCD of 556, 298, 663 on a calculator?

You can find the GCD of 556, 298, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.