GCD of 909, 106, 308 Calculator

Given Input numbers are 909, 106, 308

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 909, 106, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 106, 308 is 1.

Therefore, GCD of numbers 909, 106, 308 is 1

Given Input Data is 909, 106, 308

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 106 is 2 x 53

Prime Factorization of 308 is 2 x 2 x 7 x 11

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, 106) = 96354

GCD(909, 106) = ( 909 x 106 ) / 96354

GCD(909, 106) = 96354 / 96354

GCD(909, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 909, 106, 308 is 1

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1. What is the GCD of 909, 106, 308?

GCD of 909, 106, 308 is 1

2. Where do I get the detailed procedure to find GCD of 909, 106, 308?

You can find a detailed procedure to find GCD of 909, 106, 308 on our page.

3. How to find GCD of 909, 106, 308 on a calculator?

You can find the GCD of 909, 106, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.