GCD of 216, 333, 563, 298 Calculator

Given Input numbers are 216, 333, 563, 298

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 216, 333, 563, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 333, 563, 298 is 1.

Therefore, GCD of numbers 216, 333, 563, 298 is 1

Given Input Data is 216, 333, 563, 298

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 563 is 563

Prime Factorization of 298 is 2 x 149

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(216, 333) = 7992

GCD(216, 333) = ( 216 x 333 ) / 7992

GCD(216, 333) = 71928 / 7992

GCD(216, 333) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 563

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

LCM(9, 563) = 5067

GCD(9, 563) = ( 9 x 563 ) / 5067

GCD(9, 563) = 5067 / 5067

GCD(9, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 216, 333, 563, 298 is 1

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• GCD of 634, 713, 183, 942
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1. What is the GCD of 216, 333, 563, 298?

GCD of 216, 333, 563, 298 is 1

2. Where do I get the detailed procedure to find GCD of 216, 333, 563, 298?

You can find a detailed procedure to find GCD of 216, 333, 563, 298 on our page.

3. How to find GCD of 216, 333, 563, 298 on a calculator?

You can find the GCD of 216, 333, 563, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.