GCD of 117, 471, 388, 284 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 117, 471, 388, 284 i.e. 1 largest integer that divides all the numbers equally.

GCD of 117, 471, 388, 284 is 1

GCD(117, 471, 388, 284) = 1

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

GCD of

GCD of numbers 117, 471, 388, 284 is 1

GCD(117, 471, 388, 284) = 1

GCD of 117,471,388,284 Calculator

GCDof 117,471,388,284 is 1

Given Input numbers are 117, 471, 388, 284

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 117, 471, 388, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 471, 388, 284 is 1.

Therefore, GCD of numbers 117, 471, 388, 284 is 1

Finding GCD of 117, 471, 388, 284 using Prime Factorization

Given Input Data is 117, 471, 388, 284

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 471 is 3 x 157

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 284 is 2 x 2 x 71

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

Finding GCD of 117, 471, 388, 284 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(117, 471) = 18369

GCD(117, 471) = ( 117 x 471 ) / 18369

GCD(117, 471) = 55107 / 18369

GCD(117, 471) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 388

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

LCM(3, 388) = 1164

GCD(3, 388) = ( 3 x 388 ) / 1164

GCD(3, 388) = 1164 / 1164

GCD(3, 388) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 117, 471, 388, 284 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 117, 471, 388, 284

1. What is the GCD of 117, 471, 388, 284?

GCD of 117, 471, 388, 284 is 1


2. Where do I get the detailed procedure to find GCD of 117, 471, 388, 284?

You can find a detailed procedure to find GCD of 117, 471, 388, 284 on our page.


3. How to find GCD of 117, 471, 388, 284 on a calculator?

You can find the GCD of 117, 471, 388, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.