GCD of 359, 197, 99, 334 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 359, 197, 99, 334 i.e. 1 largest integer that divides all the numbers equally.

GCD of 359, 197, 99, 334 is 1

GCD(359, 197, 99, 334) = 1

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

GCD of

GCD of numbers 359, 197, 99, 334 is 1

GCD(359, 197, 99, 334) = 1

GCD of 359,197,99,334 Calculator

GCDof 359,197,99,334 is 1

Given Input numbers are 359, 197, 99, 334

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 359, 197, 99, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 197, 99, 334 is 1.

Therefore, GCD of numbers 359, 197, 99, 334 is 1

Finding GCD of 359, 197, 99, 334 using Prime Factorization

Given Input Data is 359, 197, 99, 334

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

Prime Factorization of 359 is 359

Prime Factorization of 197 is 197

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 334 is 2 x 167

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

Finding GCD of 359, 197, 99, 334 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(359, 197) = 70723

GCD(359, 197) = ( 359 x 197 ) / 70723

GCD(359, 197) = 70723 / 70723

GCD(359, 197) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 359, 197, 99, 334 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 359, 197, 99, 334

1. What is the GCD of 359, 197, 99, 334?

GCD of 359, 197, 99, 334 is 1


2. Where do I get the detailed procedure to find GCD of 359, 197, 99, 334?

You can find a detailed procedure to find GCD of 359, 197, 99, 334 on our page.


3. How to find GCD of 359, 197, 99, 334 on a calculator?

You can find the GCD of 359, 197, 99, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.