GCD of 286, 198, 18 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 286, 198, 18 i.e. 2 largest integer that divides all the numbers equally.

GCD of 286, 198, 18 is 2

GCD(286, 198, 18) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 286, 198, 18 is 2

GCD(286, 198, 18) = 2

GCD of 286,198,18 Calculator

GCDof 286,198,18 is 2

Given Input numbers are 286, 198, 18

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 18

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

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 286, 198, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 198, 18 is 2.

Therefore, GCD of numbers 286, 198, 18 is 2

Finding GCD of 286, 198, 18 using Prime Factorization

Given Input Data is 286, 198, 18

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 18 is 2 x 3 x 3

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 286, 198, 18 using LCM Formula

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(286, 198) = 2574

GCD(286, 198) = ( 286 x 198 ) / 2574

GCD(286, 198) = 56628 / 2574

GCD(286, 198) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 18

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

LCM(22, 18) = 198

GCD(22, 18) = ( 22 x 18 ) / 198

GCD(22, 18) = 396 / 198

GCD(22, 18) = 2

GCD of 286, 198, 18 is 2

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 286, 198, 18

1. What is the GCD of 286, 198, 18?

GCD of 286, 198, 18 is 2

2. Where do I get the detailed procedure to find GCD of 286, 198, 18?

You can find a detailed procedure to find GCD of 286, 198, 18 on our page.

3. How to find GCD of 286, 198, 18 on a calculator?

You can find the GCD of 286, 198, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.