GCD of 930, 687, 13, 480 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 930, 687, 13, 480 i.e. 1 largest integer that divides all the numbers equally.

GCD of 930, 687, 13, 480 is 1

GCD(930, 687, 13, 480) = 1

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

GCD of

GCD of numbers 930, 687, 13, 480 is 1

GCD(930, 687, 13, 480) = 1

GCD of 930,687,13,480 Calculator

GCDof 930,687,13,480 is 1

Given Input numbers are 930, 687, 13, 480

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 13

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

1, 13

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 930, 687, 13, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 687, 13, 480 is 1.

Therefore, GCD of numbers 930, 687, 13, 480 is 1

Finding GCD of 930, 687, 13, 480 using Prime Factorization

Given Input Data is 930, 687, 13, 480

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 687 is 3 x 229

Prime Factorization of 13 is 13

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 930, 687, 13, 480 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(930, 687) = 212970

GCD(930, 687) = ( 930 x 687 ) / 212970

GCD(930, 687) = 638910 / 212970

GCD(930, 687) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 930, 687, 13, 480 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 930, 687, 13, 480

1. What is the GCD of 930, 687, 13, 480?

GCD of 930, 687, 13, 480 is 1


2. Where do I get the detailed procedure to find GCD of 930, 687, 13, 480?

You can find a detailed procedure to find GCD of 930, 687, 13, 480 on our page.


3. How to find GCD of 930, 687, 13, 480 on a calculator?

You can find the GCD of 930, 687, 13, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.