GCD of 509, 361, 440, 300 Calculator

Given Input numbers are 509, 361, 440, 300

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

Greatest Common Divisior

We found the divisors of 509, 361, 440, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 361, 440, 300 is 1.

Therefore, GCD of numbers 509, 361, 440, 300 is 1

Given Input Data is 509, 361, 440, 300

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

Prime Factorization of 509 is 509

Prime Factorization of 361 is 19 x 19

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

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(509, 361) = 183749

GCD(509, 361) = ( 509 x 361 ) / 183749

GCD(509, 361) = 183749 / 183749

GCD(509, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 509, 361, 440, 300 is 1

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1. What is the GCD of 509, 361, 440, 300?

GCD of 509, 361, 440, 300 is 1

2. Where do I get the detailed procedure to find GCD of 509, 361, 440, 300?

You can find a detailed procedure to find GCD of 509, 361, 440, 300 on our page.

3. How to find GCD of 509, 361, 440, 300 on a calculator?

You can find the GCD of 509, 361, 440, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.