GCD of 99, 157, 169, 796 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 99, 157, 169, 796 i.e. 1 largest integer that divides all the numbers equally.

GCD of 99, 157, 169, 796 is 1

GCD(99, 157, 169, 796) = 1

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

GCD of

GCD of numbers 99, 157, 169, 796 is 1

GCD(99, 157, 169, 796) = 1

GCD of 99,157,169,796 Calculator

GCDof 99,157,169,796 is 1

Given Input numbers are 99, 157, 169, 796

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 99, 157, 169, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 157, 169, 796 is 1.

Therefore, GCD of numbers 99, 157, 169, 796 is 1

Finding GCD of 99, 157, 169, 796 using Prime Factorization

Given Input Data is 99, 157, 169, 796

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 157 is 157

Prime Factorization of 169 is 13 x 13

Prime Factorization of 796 is 2 x 2 x 199

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

Finding GCD of 99, 157, 169, 796 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(99, 157) = 15543

GCD(99, 157) = ( 99 x 157 ) / 15543

GCD(99, 157) = 15543 / 15543

GCD(99, 157) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 99, 157, 169, 796 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 99, 157, 169, 796

1. What is the GCD of 99, 157, 169, 796?

GCD of 99, 157, 169, 796 is 1


2. Where do I get the detailed procedure to find GCD of 99, 157, 169, 796?

You can find a detailed procedure to find GCD of 99, 157, 169, 796 on our page.


3. How to find GCD of 99, 157, 169, 796 on a calculator?

You can find the GCD of 99, 157, 169, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.