GCD of 226, 438, 928, 444 Calculator

Given Input numbers are 226, 438, 928, 444

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 226, 438, 928, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 438, 928, 444 is 2.

Therefore, GCD of numbers 226, 438, 928, 444 is 2

Given Input Data is 226, 438, 928, 444

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 444 is 2 x 2 x 3 x 37

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, 438) = 49494

GCD(226, 438) = ( 226 x 438 ) / 49494

GCD(226, 438) = 98988 / 49494

GCD(226, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 226, 438, 928, 444 is 2

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1. What is the GCD of 226, 438, 928, 444?

GCD of 226, 438, 928, 444 is 2

2. Where do I get the detailed procedure to find GCD of 226, 438, 928, 444?

You can find a detailed procedure to find GCD of 226, 438, 928, 444 on our page.

3. How to find GCD of 226, 438, 928, 444 on a calculator?

You can find the GCD of 226, 438, 928, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.