GCD of 176, 544, 228, 404 Calculator

Given Input numbers are 176, 544, 228, 404

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 176, 544, 228, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 544, 228, 404 is 4.

Therefore, GCD of numbers 176, 544, 228, 404 is 4

Given Input Data is 176, 544, 228, 404

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 544 is 2 x 2 x 2 x 2 x 2 x 17

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

Prime Factorization of 404 is 2 x 2 x 101

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(176, 544) = 5984

GCD(176, 544) = ( 176 x 544 ) / 5984

GCD(176, 544) = 95744 / 5984

GCD(176, 544) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 228

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

LCM(16, 228) = 912

GCD(16, 228) = ( 16 x 228 ) / 912

GCD(16, 228) = 3648 / 912

GCD(16, 228) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 404

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

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

GCD(4, 404) = 1616 / 404

GCD(4, 404) = 4

GCD of 176, 544, 228, 404 is 4

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1. What is the GCD of 176, 544, 228, 404?

GCD of 176, 544, 228, 404 is 4

2. Where do I get the detailed procedure to find GCD of 176, 544, 228, 404?

You can find a detailed procedure to find GCD of 176, 544, 228, 404 on our page.

3. How to find GCD of 176, 544, 228, 404 on a calculator?

You can find the GCD of 176, 544, 228, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.