GCD of 13, 992, 660, 119 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 13, 992, 660, 119 i.e. 1 largest integer that divides all the numbers equally.

GCD of 13, 992, 660, 119 is 1

GCD(13, 992, 660, 119) = 1

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

GCD of

GCD of numbers 13, 992, 660, 119 is 1

GCD(13, 992, 660, 119) = 1

GCD of 13,992,660,119 Calculator

GCDof 13,992,660,119 is 1

Given Input numbers are 13, 992, 660, 119

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 13, 992, 660, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 992, 660, 119 is 1.

Therefore, GCD of numbers 13, 992, 660, 119 is 1

Finding GCD of 13, 992, 660, 119 using Prime Factorization

Given Input Data is 13, 992, 660, 119

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

Prime Factorization of 13 is 13

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 119 is 7 x 17

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

Finding GCD of 13, 992, 660, 119 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(13, 992) = 12896

GCD(13, 992) = ( 13 x 992 ) / 12896

GCD(13, 992) = 12896 / 12896

GCD(13, 992) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 13, 992, 660, 119 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 13, 992, 660, 119

1. What is the GCD of 13, 992, 660, 119?

GCD of 13, 992, 660, 119 is 1


2. Where do I get the detailed procedure to find GCD of 13, 992, 660, 119?

You can find a detailed procedure to find GCD of 13, 992, 660, 119 on our page.


3. How to find GCD of 13, 992, 660, 119 on a calculator?

You can find the GCD of 13, 992, 660, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.