GCD of 908, 354, 398, 904 Calculator

Given Input numbers are 908, 354, 398, 904

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

Divisors of 908

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

1, 2, 4, 227, 454, 908

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 904

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

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

Greatest Common Divisior

We found the divisors of 908, 354, 398, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 354, 398, 904 is 2.

Therefore, GCD of numbers 908, 354, 398, 904 is 2

Given Input Data is 908, 354, 398, 904

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 398 is 2 x 199

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

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(908, 354) = 160716

GCD(908, 354) = ( 908 x 354 ) / 160716

GCD(908, 354) = 321432 / 160716

GCD(908, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

GCD of 908, 354, 398, 904 is 2

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1. What is the GCD of 908, 354, 398, 904?

GCD of 908, 354, 398, 904 is 2

2. Where do I get the detailed procedure to find GCD of 908, 354, 398, 904?

You can find a detailed procedure to find GCD of 908, 354, 398, 904 on our page.

3. How to find GCD of 908, 354, 398, 904 on a calculator?

You can find the GCD of 908, 354, 398, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.