GCD of 15, 209, 595, 772 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 15, 209, 595, 772 i.e. 1 largest integer that divides all the numbers equally.

GCD of 15, 209, 595, 772 is 1

GCD(15, 209, 595, 772) = 1

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

GCD of

GCD of numbers 15, 209, 595, 772 is 1

GCD(15, 209, 595, 772) = 1

GCD of 15,209,595,772 Calculator

GCDof 15,209,595,772 is 1

Given Input numbers are 15, 209, 595, 772

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 15, 209, 595, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 209, 595, 772 is 1.

Therefore, GCD of numbers 15, 209, 595, 772 is 1

Finding GCD of 15, 209, 595, 772 using Prime Factorization

Given Input Data is 15, 209, 595, 772

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 209 is 11 x 19

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 772 is 2 x 2 x 193

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

Finding GCD of 15, 209, 595, 772 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(15, 209) = 3135

GCD(15, 209) = ( 15 x 209 ) / 3135

GCD(15, 209) = 3135 / 3135

GCD(15, 209) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 15, 209, 595, 772 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 15, 209, 595, 772

1. What is the GCD of 15, 209, 595, 772?

GCD of 15, 209, 595, 772 is 1


2. Where do I get the detailed procedure to find GCD of 15, 209, 595, 772?

You can find a detailed procedure to find GCD of 15, 209, 595, 772 on our page.


3. How to find GCD of 15, 209, 595, 772 on a calculator?

You can find the GCD of 15, 209, 595, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.