GCD of 28, 488, 110, 401 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 28, 488, 110, 401 i.e. 1 largest integer that divides all the numbers equally.

GCD of 28, 488, 110, 401 is 1

GCD(28, 488, 110, 401) = 1

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

GCD of

GCD of numbers 28, 488, 110, 401 is 1

GCD(28, 488, 110, 401) = 1

GCD of 28,488,110,401 Calculator

GCDof 28,488,110,401 is 1

Given Input numbers are 28, 488, 110, 401

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 488

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

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 28, 488, 110, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 488, 110, 401 is 1.

Therefore, GCD of numbers 28, 488, 110, 401 is 1

Finding GCD of 28, 488, 110, 401 using Prime Factorization

Given Input Data is 28, 488, 110, 401

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

Prime Factorization of 28 is 2 x 2 x 7

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 401 is 401

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

Finding GCD of 28, 488, 110, 401 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(28, 488) = 3416

GCD(28, 488) = ( 28 x 488 ) / 3416

GCD(28, 488) = 13664 / 3416

GCD(28, 488) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 110

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

LCM(4, 110) = 220

GCD(4, 110) = ( 4 x 110 ) / 220

GCD(4, 110) = 440 / 220

GCD(4, 110) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 401

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

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

GCD(2, 401) = 802 / 802

GCD(2, 401) = 1

GCD of 28, 488, 110, 401 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 28, 488, 110, 401

1. What is the GCD of 28, 488, 110, 401?

GCD of 28, 488, 110, 401 is 1


2. Where do I get the detailed procedure to find GCD of 28, 488, 110, 401?

You can find a detailed procedure to find GCD of 28, 488, 110, 401 on our page.


3. How to find GCD of 28, 488, 110, 401 on a calculator?

You can find the GCD of 28, 488, 110, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.