GCD of 300, 909, 14, 569 Calculator

Given Input numbers are 300, 909, 14, 569

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 300, 909, 14, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 909, 14, 569 is 1.

Therefore, GCD of numbers 300, 909, 14, 569 is 1

Given Input Data is 300, 909, 14, 569

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 14 is 2 x 7

Prime Factorization of 569 is 569

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(300, 909) = 90900

GCD(300, 909) = ( 300 x 909 ) / 90900

GCD(300, 909) = 272700 / 90900

GCD(300, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

GCD of 300, 909, 14, 569 is 1

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• GCD of 741, 762, 63, 264
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1. What is the GCD of 300, 909, 14, 569?

GCD of 300, 909, 14, 569 is 1

2. Where do I get the detailed procedure to find GCD of 300, 909, 14, 569?

You can find a detailed procedure to find GCD of 300, 909, 14, 569 on our page.

3. How to find GCD of 300, 909, 14, 569 on a calculator?

You can find the GCD of 300, 909, 14, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.