GCD of 18, 214, 663, 203 Calculator

Given Input numbers are 18, 214, 663, 203

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 663

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

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 18, 214, 663, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 214, 663, 203 is 1.

Therefore, GCD of numbers 18, 214, 663, 203 is 1

Given Input Data is 18, 214, 663, 203

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 214 is 2 x 107

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 203 is 7 x 29

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(18, 214) = 1926

GCD(18, 214) = ( 18 x 214 ) / 1926

GCD(18, 214) = 3852 / 1926

GCD(18, 214) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 18, 214, 663, 203 is 1

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• GCD of 18, 581, 892, 382
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• GCD of 52, 535, 867, 228

1. What is the GCD of 18, 214, 663, 203?

GCD of 18, 214, 663, 203 is 1

2. Where do I get the detailed procedure to find GCD of 18, 214, 663, 203?

You can find a detailed procedure to find GCD of 18, 214, 663, 203 on our page.

3. How to find GCD of 18, 214, 663, 203 on a calculator?

You can find the GCD of 18, 214, 663, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.