GCD of 882, 917, 96 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 882, 917, 96 i.e. 1 largest integer that divides all the numbers equally.

GCD of 882, 917, 96 is 1

GCD(882, 917, 96) = 1

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

GCD of

GCD of numbers 882, 917, 96 is 1

GCD(882, 917, 96) = 1

GCD of 882,917,96 Calculator

GCDof 882,917,96 is 1

Given Input numbers are 882, 917, 96

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 882, 917, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 917, 96 is 1.

Therefore, GCD of numbers 882, 917, 96 is 1

Finding GCD of 882, 917, 96 using Prime Factorization

Given Input Data is 882, 917, 96

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 917 is 7 x 131

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 882, 917, 96 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(882, 917) = 115542

GCD(882, 917) = ( 882 x 917 ) / 115542

GCD(882, 917) = 808794 / 115542

GCD(882, 917) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 96

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

LCM(7, 96) = 672

GCD(7, 96) = ( 7 x 96 ) / 672

GCD(7, 96) = 672 / 672

GCD(7, 96) = 1

GCD of 882, 917, 96 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 882, 917, 96

1. What is the GCD of 882, 917, 96?

GCD of 882, 917, 96 is 1


2. Where do I get the detailed procedure to find GCD of 882, 917, 96?

You can find a detailed procedure to find GCD of 882, 917, 96 on our page.


3. How to find GCD of 882, 917, 96 on a calculator?

You can find the GCD of 882, 917, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.