GCD of 884, 109, 20, 222 Calculator

Given Input numbers are 884, 109, 20, 222

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 109

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

1, 109

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 222

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

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

Greatest Common Divisior

We found the divisors of 884, 109, 20, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 109, 20, 222 is 1.

Therefore, GCD of numbers 884, 109, 20, 222 is 1

Given Input Data is 884, 109, 20, 222

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 109 is 109

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 222 is 2 x 3 x 37

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(884, 109) = 96356

GCD(884, 109) = ( 884 x 109 ) / 96356

GCD(884, 109) = 96356 / 96356

GCD(884, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 884, 109, 20, 222 is 1

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1. What is the GCD of 884, 109, 20, 222?

GCD of 884, 109, 20, 222 is 1

2. Where do I get the detailed procedure to find GCD of 884, 109, 20, 222?

You can find a detailed procedure to find GCD of 884, 109, 20, 222 on our page.

3. How to find GCD of 884, 109, 20, 222 on a calculator?

You can find the GCD of 884, 109, 20, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.