GCD of 509, 485, 23, 367 Calculator

Given Input numbers are 509, 485, 23, 367

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 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 509, 485, 23, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 485, 23, 367 is 1.

Therefore, GCD of numbers 509, 485, 23, 367 is 1

Given Input Data is 509, 485, 23, 367

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

Prime Factorization of 509 is 509

Prime Factorization of 485 is 5 x 97

Prime Factorization of 23 is 23

Prime Factorization of 367 is 367

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, 485) = 246865

GCD(509, 485) = ( 509 x 485 ) / 246865

GCD(509, 485) = 246865 / 246865

GCD(509, 485) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 509, 485, 23, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 180, 31, 736
• GCD of 383, 870, 22, 737
• GCD of 383, 648, 12, 217
• GCD of 406, 334, 53, 805
• GCD of 213, 952, 46, 957

1. What is the GCD of 509, 485, 23, 367?

GCD of 509, 485, 23, 367 is 1

2. Where do I get the detailed procedure to find GCD of 509, 485, 23, 367?

You can find a detailed procedure to find GCD of 509, 485, 23, 367 on our page.

3. How to find GCD of 509, 485, 23, 367 on a calculator?

You can find the GCD of 509, 485, 23, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.