GCD of 171, 411, 47, 359 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 171, 411, 47, 359 i.e. 1 largest integer that divides all the numbers equally.

GCD of 171, 411, 47, 359 is 1

GCD(171, 411, 47, 359) = 1

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

GCD of

GCD of numbers 171, 411, 47, 359 is 1

GCD(171, 411, 47, 359) = 1

GCD of 171,411,47,359 Calculator

GCDof 171,411,47,359 is 1

Given Input numbers are 171, 411, 47, 359

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 359

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

1, 359

Greatest Common Divisior

We found the divisors of 171, 411, 47, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 411, 47, 359 is 1.

Therefore, GCD of numbers 171, 411, 47, 359 is 1

Finding GCD of 171, 411, 47, 359 using Prime Factorization

Given Input Data is 171, 411, 47, 359

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 411 is 3 x 137

Prime Factorization of 47 is 47

Prime Factorization of 359 is 359

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

Finding GCD of 171, 411, 47, 359 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(171, 411) = 23427

GCD(171, 411) = ( 171 x 411 ) / 23427

GCD(171, 411) = 70281 / 23427

GCD(171, 411) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 171, 411, 47, 359 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 171, 411, 47, 359

1. What is the GCD of 171, 411, 47, 359?

GCD of 171, 411, 47, 359 is 1


2. Where do I get the detailed procedure to find GCD of 171, 411, 47, 359?

You can find a detailed procedure to find GCD of 171, 411, 47, 359 on our page.


3. How to find GCD of 171, 411, 47, 359 on a calculator?

You can find the GCD of 171, 411, 47, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.