GCD of 908, 316, 630, 809 Calculator

Given Input numbers are 908, 316, 630, 809

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 908, 316, 630, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 316, 630, 809 is 1.

Therefore, GCD of numbers 908, 316, 630, 809 is 1

Given Input Data is 908, 316, 630, 809

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 316 is 2 x 2 x 79

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 809 is 809

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, 316) = 71732

GCD(908, 316) = ( 908 x 316 ) / 71732

GCD(908, 316) = 286928 / 71732

GCD(908, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 630

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

LCM(4, 630) = 1260

GCD(4, 630) = ( 4 x 630 ) / 1260

GCD(4, 630) = 2520 / 1260

GCD(4, 630) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 809

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

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

GCD(2, 809) = 1618 / 1618

GCD(2, 809) = 1

GCD of 908, 316, 630, 809 is 1

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1. What is the GCD of 908, 316, 630, 809?

GCD of 908, 316, 630, 809 is 1

2. Where do I get the detailed procedure to find GCD of 908, 316, 630, 809?

You can find a detailed procedure to find GCD of 908, 316, 630, 809 on our page.

3. How to find GCD of 908, 316, 630, 809 on a calculator?

You can find the GCD of 908, 316, 630, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.