GCD of 228, 176, 788, 417 Calculator

Given Input numbers are 228, 176, 788, 417

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 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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 228, 176, 788, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 176, 788, 417 is 1.

Therefore, GCD of numbers 228, 176, 788, 417 is 1

Given Input Data is 228, 176, 788, 417

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 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 417 is 3 x 139

The above numbers do not have any common prime factor. So GCD is 1

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, 176) = 10032

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

GCD(228, 176) = 40128 / 10032

GCD(228, 176) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 788

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

LCM(4, 788) = 788

GCD(4, 788) = ( 4 x 788 ) / 788

GCD(4, 788) = 3152 / 788

GCD(4, 788) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 417

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

LCM(4, 417) = 1668

GCD(4, 417) = ( 4 x 417 ) / 1668

GCD(4, 417) = 1668 / 1668

GCD(4, 417) = 1

GCD of 228, 176, 788, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 221, 236, 487
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• GCD of 413, 425, 355, 126

1. What is the GCD of 228, 176, 788, 417?

GCD of 228, 176, 788, 417 is 1

2. Where do I get the detailed procedure to find GCD of 228, 176, 788, 417?

You can find a detailed procedure to find GCD of 228, 176, 788, 417 on our page.

3. How to find GCD of 228, 176, 788, 417 on a calculator?

You can find the GCD of 228, 176, 788, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.