GCD of 226, 984, 18, 198 Calculator

Given Input numbers are 226, 984, 18, 198

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 18

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

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 226, 984, 18, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 984, 18, 198 is 2.

Therefore, GCD of numbers 226, 984, 18, 198 is 2

Given Input Data is 226, 984, 18, 198

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 18 is 2 x 3 x 3

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

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(226, 984) = 111192

GCD(226, 984) = ( 226 x 984 ) / 111192

GCD(226, 984) = 222384 / 111192

GCD(226, 984) = 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 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 226, 984, 18, 198 is 2

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1. What is the GCD of 226, 984, 18, 198?

GCD of 226, 984, 18, 198 is 2

2. Where do I get the detailed procedure to find GCD of 226, 984, 18, 198?

You can find a detailed procedure to find GCD of 226, 984, 18, 198 on our page.

3. How to find GCD of 226, 984, 18, 198 on a calculator?

You can find the GCD of 226, 984, 18, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.