GCD of 288, 198, 364 Calculator

Given Input numbers are 288, 198, 364

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 288, 198, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 198, 364 is 2.

Therefore, GCD of numbers 288, 198, 364 is 2

Given Input Data is 288, 198, 364

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(288, 198) = 3168

GCD(288, 198) = ( 288 x 198 ) / 3168

GCD(288, 198) = 57024 / 3168

GCD(288, 198) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 364

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

LCM(18, 364) = 3276

GCD(18, 364) = ( 18 x 364 ) / 3276

GCD(18, 364) = 6552 / 3276

GCD(18, 364) = 2

GCD of 288, 198, 364 is 2

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1. What is the GCD of 288, 198, 364?

GCD of 288, 198, 364 is 2

2. Where do I get the detailed procedure to find GCD of 288, 198, 364?

You can find a detailed procedure to find GCD of 288, 198, 364 on our page.

3. How to find GCD of 288, 198, 364 on a calculator?

You can find the GCD of 288, 198, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.