GCD of 176, 228, 12, 294 Calculator

Given Input numbers are 176, 228, 12, 294

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 176, 228, 12, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 228, 12, 294 is 2.

Therefore, GCD of numbers 176, 228, 12, 294 is 2

Given Input Data is 176, 228, 12, 294

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(176, 228) = 10032

GCD(176, 228) = ( 176 x 228 ) / 10032

GCD(176, 228) = 40128 / 10032

GCD(176, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

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

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 294

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

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

GCD(4, 294) = 1176 / 588

GCD(4, 294) = 2

GCD of 176, 228, 12, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 327, 63, 659
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• GCD of 940, 604, 94, 936

1. What is the GCD of 176, 228, 12, 294?

GCD of 176, 228, 12, 294 is 2

2. Where do I get the detailed procedure to find GCD of 176, 228, 12, 294?

You can find a detailed procedure to find GCD of 176, 228, 12, 294 on our page.

3. How to find GCD of 176, 228, 12, 294 on a calculator?

You can find the GCD of 176, 228, 12, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.