GCD of 412, 271, 18, 488 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 412, 271, 18, 488 i.e. 1 largest integer that divides all the numbers equally.

GCD of 412, 271, 18, 488 is 1

GCD(412, 271, 18, 488) = 1

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

GCD of

GCD of numbers 412, 271, 18, 488 is 1

GCD(412, 271, 18, 488) = 1

GCD of 412,271,18,488 Calculator

GCDof 412,271,18,488 is 1

Given Input numbers are 412, 271, 18, 488

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 412, 271, 18, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 271, 18, 488 is 1.

Therefore, GCD of numbers 412, 271, 18, 488 is 1

Finding GCD of 412, 271, 18, 488 using Prime Factorization

Given Input Data is 412, 271, 18, 488

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 271 is 271

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Finding GCD of 412, 271, 18, 488 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(412, 271) = 111652

GCD(412, 271) = ( 412 x 271 ) / 111652

GCD(412, 271) = 111652 / 111652

GCD(412, 271) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 412, 271, 18, 488 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 412, 271, 18, 488

1. What is the GCD of 412, 271, 18, 488?

GCD of 412, 271, 18, 488 is 1


2. Where do I get the detailed procedure to find GCD of 412, 271, 18, 488?

You can find a detailed procedure to find GCD of 412, 271, 18, 488 on our page.


3. How to find GCD of 412, 271, 18, 488 on a calculator?

You can find the GCD of 412, 271, 18, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.