GCD of 660, 872, 920, 717 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 660, 872, 920, 717 i.e. 1 largest integer that divides all the numbers equally.

GCD of 660, 872, 920, 717 is 1

GCD(660, 872, 920, 717) = 1

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

GCD of

GCD of numbers 660, 872, 920, 717 is 1

GCD(660, 872, 920, 717) = 1

GCD of 660,872,920,717 Calculator

GCDof 660,872,920,717 is 1

Given Input numbers are 660, 872, 920, 717

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

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 660, 872, 920, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 872, 920, 717 is 1.

Therefore, GCD of numbers 660, 872, 920, 717 is 1

Finding GCD of 660, 872, 920, 717 using Prime Factorization

Given Input Data is 660, 872, 920, 717

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

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 717 is 3 x 239

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

Finding GCD of 660, 872, 920, 717 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(660, 872) = 143880

GCD(660, 872) = ( 660 x 872 ) / 143880

GCD(660, 872) = 575520 / 143880

GCD(660, 872) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 920

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

LCM(4, 920) = 920

GCD(4, 920) = ( 4 x 920 ) / 920

GCD(4, 920) = 3680 / 920

GCD(4, 920) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 717

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

LCM(4, 717) = 2868

GCD(4, 717) = ( 4 x 717 ) / 2868

GCD(4, 717) = 2868 / 2868

GCD(4, 717) = 1

GCD of 660, 872, 920, 717 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 872, 920, 717

1. What is the GCD of 660, 872, 920, 717?

GCD of 660, 872, 920, 717 is 1


2. Where do I get the detailed procedure to find GCD of 660, 872, 920, 717?

You can find a detailed procedure to find GCD of 660, 872, 920, 717 on our page.


3. How to find GCD of 660, 872, 920, 717 on a calculator?

You can find the GCD of 660, 872, 920, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.