GCD of 909, 195, 834, 909 Calculator

Given Input numbers are 909, 195, 834, 909

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 909

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

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 909, 195, 834, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 195, 834, 909 is 3.

Therefore, GCD of numbers 909, 195, 834, 909 is 3

Given Input Data is 909, 195, 834, 909

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 195 is 3 x 5 x 13

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 909 is 3 x 3 x 101

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 195) = 59085

GCD(909, 195) = ( 909 x 195 ) / 59085

GCD(909, 195) = 177255 / 59085

GCD(909, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 834

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

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

GCD(3, 834) = 2502 / 834

GCD(3, 834) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 909

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

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

GCD(3, 909) = 2727 / 909

GCD(3, 909) = 3

GCD of 909, 195, 834, 909 is 3

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1. What is the GCD of 909, 195, 834, 909?

GCD of 909, 195, 834, 909 is 3

2. Where do I get the detailed procedure to find GCD of 909, 195, 834, 909?

You can find a detailed procedure to find GCD of 909, 195, 834, 909 on our page.

3. How to find GCD of 909, 195, 834, 909 on a calculator?

You can find the GCD of 909, 195, 834, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.