GCD of 117, 817, 691 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 117, 817, 691 i.e. 1 largest integer that divides all the numbers equally.

GCD of 117, 817, 691 is 1

GCD(117, 817, 691) = 1

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

GCD of

GCD of numbers 117, 817, 691 is 1

GCD(117, 817, 691) = 1

GCD of 117,817,691 Calculator

GCDof 117,817,691 is 1

Given Input numbers are 117, 817, 691

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 117, 817, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 817, 691 is 1.

Therefore, GCD of numbers 117, 817, 691 is 1

Finding GCD of 117, 817, 691 using Prime Factorization

Given Input Data is 117, 817, 691

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 817 is 19 x 43

Prime Factorization of 691 is 691

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

Finding GCD of 117, 817, 691 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(117, 817) = 95589

GCD(117, 817) = ( 117 x 817 ) / 95589

GCD(117, 817) = 95589 / 95589

GCD(117, 817) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 117, 817, 691 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 117, 817, 691

1. What is the GCD of 117, 817, 691?

GCD of 117, 817, 691 is 1


2. Where do I get the detailed procedure to find GCD of 117, 817, 691?

You can find a detailed procedure to find GCD of 117, 817, 691 on our page.


3. How to find GCD of 117, 817, 691 on a calculator?

You can find the GCD of 117, 817, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.