GCD of 908, 986, 608, 319 Calculator

Given Input numbers are 908, 986, 608, 319

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 908, 986, 608, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 986, 608, 319 is 1.

Therefore, GCD of numbers 908, 986, 608, 319 is 1

Given Input Data is 908, 986, 608, 319

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 986 is 2 x 17 x 29

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 319 is 11 x 29

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, 986) = 447644

GCD(908, 986) = ( 908 x 986 ) / 447644

GCD(908, 986) = 895288 / 447644

GCD(908, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

GCD of 908, 986, 608, 319 is 1

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1. What is the GCD of 908, 986, 608, 319?

GCD of 908, 986, 608, 319 is 1

2. Where do I get the detailed procedure to find GCD of 908, 986, 608, 319?

You can find a detailed procedure to find GCD of 908, 986, 608, 319 on our page.

3. How to find GCD of 908, 986, 608, 319 on a calculator?

You can find the GCD of 908, 986, 608, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.