GCD of 281, 228, 72, 240 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 281, 228, 72, 240 i.e. 1 largest integer that divides all the numbers equally.

GCD of 281, 228, 72, 240 is 1

GCD(281, 228, 72, 240) = 1

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

GCD of

GCD of numbers 281, 228, 72, 240 is 1

GCD(281, 228, 72, 240) = 1

GCD of 281,228,72,240 Calculator

GCDof 281,228,72,240 is 1

Given Input numbers are 281, 228, 72, 240

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 281, 228, 72, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 228, 72, 240 is 1.

Therefore, GCD of numbers 281, 228, 72, 240 is 1

Finding GCD of 281, 228, 72, 240 using Prime Factorization

Given Input Data is 281, 228, 72, 240

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

Prime Factorization of 281 is 281

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 281, 228, 72, 240 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(281, 228) = 64068

GCD(281, 228) = ( 281 x 228 ) / 64068

GCD(281, 228) = 64068 / 64068

GCD(281, 228) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 281, 228, 72, 240 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 281, 228, 72, 240

1. What is the GCD of 281, 228, 72, 240?

GCD of 281, 228, 72, 240 is 1


2. Where do I get the detailed procedure to find GCD of 281, 228, 72, 240?

You can find a detailed procedure to find GCD of 281, 228, 72, 240 on our page.


3. How to find GCD of 281, 228, 72, 240 on a calculator?

You can find the GCD of 281, 228, 72, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.