GCD of 15, 727, 698, 779 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, 727, 698, 779 i.e. 1 largest integer that divides all the numbers equally.

GCD of 15, 727, 698, 779 is 1

GCD(15, 727, 698, 779) = 1

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

GCD of

GCD of numbers 15, 727, 698, 779 is 1

GCD(15, 727, 698, 779) = 1

GCD of 15,727,698,779 Calculator

GCDof 15,727,698,779 is 1

Given Input numbers are 15, 727, 698, 779

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 15, 727, 698, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 727, 698, 779 is 1.

Therefore, GCD of numbers 15, 727, 698, 779 is 1

Finding GCD of 15, 727, 698, 779 using Prime Factorization

Given Input Data is 15, 727, 698, 779

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 727 is 727

Prime Factorization of 698 is 2 x 349

Prime Factorization of 779 is 19 x 41

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

Finding GCD of 15, 727, 698, 779 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, 727) = 10905

GCD(15, 727) = ( 15 x 727 ) / 10905

GCD(15, 727) = 10905 / 10905

GCD(15, 727) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 15, 727, 698, 779 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 15, 727, 698, 779

1. What is the GCD of 15, 727, 698, 779?

GCD of 15, 727, 698, 779 is 1


2. Where do I get the detailed procedure to find GCD of 15, 727, 698, 779?

You can find a detailed procedure to find GCD of 15, 727, 698, 779 on our page.


3. How to find GCD of 15, 727, 698, 779 on a calculator?

You can find the GCD of 15, 727, 698, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.