GCD of 230, 222, 38, 916 Calculator

Given Input numbers are 230, 222, 38, 916

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 230, 222, 38, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 222, 38, 916 is 2.

Therefore, GCD of numbers 230, 222, 38, 916 is 2

Given Input Data is 230, 222, 38, 916

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 38 is 2 x 19

Prime Factorization of 916 is 2 x 2 x 229

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(230, 222) = 25530

GCD(230, 222) = ( 230 x 222 ) / 25530

GCD(230, 222) = 51060 / 25530

GCD(230, 222) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 230, 222, 38, 916 is 2

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1. What is the GCD of 230, 222, 38, 916?

GCD of 230, 222, 38, 916 is 2

2. Where do I get the detailed procedure to find GCD of 230, 222, 38, 916?

You can find a detailed procedure to find GCD of 230, 222, 38, 916 on our page.

3. How to find GCD of 230, 222, 38, 916 on a calculator?

You can find the GCD of 230, 222, 38, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.