GCD of 228, 112, 492 Calculator

Given Input numbers are 228, 112, 492

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 228, 112, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 112, 492 is 4.

Therefore, GCD of numbers 228, 112, 492 is 4

Given Input Data is 228, 112, 492

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 492 is 2 x 2 x 3 x 41

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(228, 112) = 6384

GCD(228, 112) = ( 228 x 112 ) / 6384

GCD(228, 112) = 25536 / 6384

GCD(228, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 492

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

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

GCD(4, 492) = 1968 / 492

GCD(4, 492) = 4

GCD of 228, 112, 492 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 199, 140
• GCD of 875, 559, 536
• GCD of 524, 298, 327
• GCD of 785, 851, 482
• GCD of 831, 921, 759

1. What is the GCD of 228, 112, 492?

GCD of 228, 112, 492 is 4

2. Where do I get the detailed procedure to find GCD of 228, 112, 492?

You can find a detailed procedure to find GCD of 228, 112, 492 on our page.

3. How to find GCD of 228, 112, 492 on a calculator?

You can find the GCD of 228, 112, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.