GCD of 908, 270, 872, 337 Calculator

Given Input numbers are 908, 270, 872, 337

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Greatest Common Divisior

We found the divisors of 908, 270, 872, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 270, 872, 337 is 1.

Therefore, GCD of numbers 908, 270, 872, 337 is 1

Given Input Data is 908, 270, 872, 337

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 337 is 337

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(908, 270) = 122580

GCD(908, 270) = ( 908 x 270 ) / 122580

GCD(908, 270) = 245160 / 122580

GCD(908, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 337

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

LCM(2, 337) = 674

GCD(2, 337) = ( 2 x 337 ) / 674

GCD(2, 337) = 674 / 674

GCD(2, 337) = 1

GCD of 908, 270, 872, 337 is 1

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1. What is the GCD of 908, 270, 872, 337?

GCD of 908, 270, 872, 337 is 1

2. Where do I get the detailed procedure to find GCD of 908, 270, 872, 337?

You can find a detailed procedure to find GCD of 908, 270, 872, 337 on our page.

3. How to find GCD of 908, 270, 872, 337 on a calculator?

You can find the GCD of 908, 270, 872, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.