GCD of 299, 199, 909, 520 Calculator

Given Input numbers are 299, 199, 909, 520

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 299, 199, 909, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 199, 909, 520 is 1.

Therefore, GCD of numbers 299, 199, 909, 520 is 1

Given Input Data is 299, 199, 909, 520

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 199 is 199

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(299, 199) = 59501

GCD(299, 199) = ( 299 x 199 ) / 59501

GCD(299, 199) = 59501 / 59501

GCD(299, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 299, 199, 909, 520 is 1

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1. What is the GCD of 299, 199, 909, 520?

GCD of 299, 199, 909, 520 is 1

2. Where do I get the detailed procedure to find GCD of 299, 199, 909, 520?

You can find a detailed procedure to find GCD of 299, 199, 909, 520 on our page.

3. How to find GCD of 299, 199, 909, 520 on a calculator?

You can find the GCD of 299, 199, 909, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.