GCD of 650, 385, 39, 509 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 650, 385, 39, 509 i.e. 1 largest integer that divides all the numbers equally.

GCD of 650, 385, 39, 509 is 1

GCD(650, 385, 39, 509) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 650, 385, 39, 509 is 1

GCD(650, 385, 39, 509) = 1

GCD of 650,385,39,509 Calculator

GCDof 650,385,39,509 is 1

Given Input numbers are 650, 385, 39, 509

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 650, 385, 39, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 385, 39, 509 is 1.

Therefore, GCD of numbers 650, 385, 39, 509 is 1

Finding GCD of 650, 385, 39, 509 using Prime Factorization

Given Input Data is 650, 385, 39, 509

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 39 is 3 x 13

Prime Factorization of 509 is 509

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 650, 385, 39, 509 using LCM Formula

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(650, 385) = 50050

GCD(650, 385) = ( 650 x 385 ) / 50050

GCD(650, 385) = 250250 / 50050

GCD(650, 385) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 39

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

LCM(5, 39) = 195

GCD(5, 39) = ( 5 x 39 ) / 195

GCD(5, 39) = 195 / 195

GCD(5, 39) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 650, 385, 39, 509 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 650, 385, 39, 509

1. What is the GCD of 650, 385, 39, 509?

GCD of 650, 385, 39, 509 is 1


2. Where do I get the detailed procedure to find GCD of 650, 385, 39, 509?

You can find a detailed procedure to find GCD of 650, 385, 39, 509 on our page.


3. How to find GCD of 650, 385, 39, 509 on a calculator?

You can find the GCD of 650, 385, 39, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.