GCD of 27, 222, 338, 109 Calculator

Given Input numbers are 27, 222, 338, 109

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 27, 222, 338, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 222, 338, 109 is 1.

Therefore, GCD of numbers 27, 222, 338, 109 is 1

Given Input Data is 27, 222, 338, 109

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 109 is 109

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(27, 222) = 1998

GCD(27, 222) = ( 27 x 222 ) / 1998

GCD(27, 222) = 5994 / 1998

GCD(27, 222) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 27, 222, 338, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 576, 921, 933
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• GCD of 46, 824, 338, 195
• GCD of 16, 706, 873, 348

1. What is the GCD of 27, 222, 338, 109?

GCD of 27, 222, 338, 109 is 1

2. Where do I get the detailed procedure to find GCD of 27, 222, 338, 109?

You can find a detailed procedure to find GCD of 27, 222, 338, 109 on our page.

3. How to find GCD of 27, 222, 338, 109 on a calculator?

You can find the GCD of 27, 222, 338, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.