GCD of 908, 272, 413, 372 Calculator

Given Input numbers are 908, 272, 413, 372

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 908, 272, 413, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 272, 413, 372 is 1.

Therefore, GCD of numbers 908, 272, 413, 372 is 1

Given Input Data is 908, 272, 413, 372

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 413 is 7 x 59

Prime Factorization of 372 is 2 x 2 x 3 x 31

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, 272) = 61744

GCD(908, 272) = ( 908 x 272 ) / 61744

GCD(908, 272) = 246976 / 61744

GCD(908, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 413

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

LCM(4, 413) = 1652

GCD(4, 413) = ( 4 x 413 ) / 1652

GCD(4, 413) = 1652 / 1652

GCD(4, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 908, 272, 413, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 196, 848, 423
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• GCD of 266, 922, 733, 616

1. What is the GCD of 908, 272, 413, 372?

GCD of 908, 272, 413, 372 is 1

2. Where do I get the detailed procedure to find GCD of 908, 272, 413, 372?

You can find a detailed procedure to find GCD of 908, 272, 413, 372 on our page.

3. How to find GCD of 908, 272, 413, 372 on a calculator?

You can find the GCD of 908, 272, 413, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.