GCD of 90, 904, 908, 228 Calculator

Given Input numbers are 90, 904, 908, 228

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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

Greatest Common Divisior

We found the divisors of 90, 904, 908, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 904, 908, 228 is 2.

Therefore, GCD of numbers 90, 904, 908, 228 is 2

Given Input Data is 90, 904, 908, 228

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 908 is 2 x 2 x 227

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

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(90, 904) = 40680

GCD(90, 904) = ( 90 x 904 ) / 40680

GCD(90, 904) = 81360 / 40680

GCD(90, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 908

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

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

GCD(2, 908) = 1816 / 908

GCD(2, 908) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 90, 904, 908, 228 is 2

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• GCD of 75, 781, 230, 391
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• GCD of 66, 394, 268, 674

1. What is the GCD of 90, 904, 908, 228?

GCD of 90, 904, 908, 228 is 2

2. Where do I get the detailed procedure to find GCD of 90, 904, 908, 228?

You can find a detailed procedure to find GCD of 90, 904, 908, 228 on our page.

3. How to find GCD of 90, 904, 908, 228 on a calculator?

You can find the GCD of 90, 904, 908, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.