GCD of 509, 245, 23, 440 Calculator

Given Input numbers are 509, 245, 23, 440

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 23

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

1, 23

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

Greatest Common Divisior

We found the divisors of 509, 245, 23, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 245, 23, 440 is 1.

Therefore, GCD of numbers 509, 245, 23, 440 is 1

Given Input Data is 509, 245, 23, 440

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

Prime Factorization of 509 is 509

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 23 is 23

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

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, 245) = 124705

GCD(509, 245) = ( 509 x 245 ) / 124705

GCD(509, 245) = 124705 / 124705

GCD(509, 245) = 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 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

GCD of 509, 245, 23, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 392, 21, 365
• GCD of 322, 546, 78, 494
• GCD of 571, 142, 33, 511
• GCD of 702, 278, 73, 309
• GCD of 405, 819, 72, 431

1. What is the GCD of 509, 245, 23, 440?

GCD of 509, 245, 23, 440 is 1

2. Where do I get the detailed procedure to find GCD of 509, 245, 23, 440?

You can find a detailed procedure to find GCD of 509, 245, 23, 440 on our page.

3. How to find GCD of 509, 245, 23, 440 on a calculator?

You can find the GCD of 509, 245, 23, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.