GCD of 318, 796, 18, 189 Calculator

Given Input numbers are 318, 796, 18, 189

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 318, 796, 18, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 796, 18, 189 is 1.

Therefore, GCD of numbers 318, 796, 18, 189 is 1

Given Input Data is 318, 796, 18, 189

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 189 is 3 x 3 x 3 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(318, 796) = 126564

GCD(318, 796) = ( 318 x 796 ) / 126564

GCD(318, 796) = 253128 / 126564

GCD(318, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

GCD of 318, 796, 18, 189 is 1

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• GCD of 877, 907, 16, 172
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1. What is the GCD of 318, 796, 18, 189?

GCD of 318, 796, 18, 189 is 1

2. Where do I get the detailed procedure to find GCD of 318, 796, 18, 189?

You can find a detailed procedure to find GCD of 318, 796, 18, 189 on our page.

3. How to find GCD of 318, 796, 18, 189 on a calculator?

You can find the GCD of 318, 796, 18, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.