GCD of 909, 908, 89, 315 Calculator

Given Input numbers are 909, 908, 89, 315

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 908

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

1, 2, 4, 227, 454, 908

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 909, 908, 89, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 908, 89, 315 is 1.

Therefore, GCD of numbers 909, 908, 89, 315 is 1

Given Input Data is 909, 908, 89, 315

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 89 is 89

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(909, 908) = 825372

GCD(909, 908) = ( 909 x 908 ) / 825372

GCD(909, 908) = 825372 / 825372

GCD(909, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 909, 908, 89, 315 is 1

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1. What is the GCD of 909, 908, 89, 315?

GCD of 909, 908, 89, 315 is 1

2. Where do I get the detailed procedure to find GCD of 909, 908, 89, 315?

You can find a detailed procedure to find GCD of 909, 908, 89, 315 on our page.

3. How to find GCD of 909, 908, 89, 315 on a calculator?

You can find the GCD of 909, 908, 89, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.