GCD of 676, 891, 99 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 676, 891, 99 i.e. 1 largest integer that divides all the numbers equally.

GCD of 676, 891, 99 is 1

GCD(676, 891, 99) = 1

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

GCD of

GCD of numbers 676, 891, 99 is 1

GCD(676, 891, 99) = 1

GCD of 676,891,99 Calculator

GCDof 676,891,99 is 1

Given Input numbers are 676, 891, 99

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Greatest Common Divisior

We found the divisors of 676, 891, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 891, 99 is 1.

Therefore, GCD of numbers 676, 891, 99 is 1

Finding GCD of 676, 891, 99 using Prime Factorization

Given Input Data is 676, 891, 99

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 99 is 3 x 3 x 11

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

Finding GCD of 676, 891, 99 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(676, 891) = 602316

GCD(676, 891) = ( 676 x 891 ) / 602316

GCD(676, 891) = 602316 / 602316

GCD(676, 891) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

GCD of 676, 891, 99 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 676, 891, 99

1. What is the GCD of 676, 891, 99?

GCD of 676, 891, 99 is 1


2. Where do I get the detailed procedure to find GCD of 676, 891, 99?

You can find a detailed procedure to find GCD of 676, 891, 99 on our page.


3. How to find GCD of 676, 891, 99 on a calculator?

You can find the GCD of 676, 891, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.