GCD of 240, 918, 35, 281 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 240, 918, 35, 281 i.e. 1 largest integer that divides all the numbers equally.

GCD of 240, 918, 35, 281 is 1

GCD(240, 918, 35, 281) = 1

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

GCD of

GCD of numbers 240, 918, 35, 281 is 1

GCD(240, 918, 35, 281) = 1

GCD of 240,918,35,281 Calculator

GCDof 240,918,35,281 is 1

Given Input numbers are 240, 918, 35, 281

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

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 281

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

1, 281

Greatest Common Divisior

We found the divisors of 240, 918, 35, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 918, 35, 281 is 1.

Therefore, GCD of numbers 240, 918, 35, 281 is 1

Finding GCD of 240, 918, 35, 281 using Prime Factorization

Given Input Data is 240, 918, 35, 281

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

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 281 is 281

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

Finding GCD of 240, 918, 35, 281 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(240, 918) = 36720

GCD(240, 918) = ( 240 x 918 ) / 36720

GCD(240, 918) = 220320 / 36720

GCD(240, 918) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 35

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

LCM(6, 35) = 210

GCD(6, 35) = ( 6 x 35 ) / 210

GCD(6, 35) = 210 / 210

GCD(6, 35) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 240, 918, 35, 281 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 240, 918, 35, 281

1. What is the GCD of 240, 918, 35, 281?

GCD of 240, 918, 35, 281 is 1


2. Where do I get the detailed procedure to find GCD of 240, 918, 35, 281?

You can find a detailed procedure to find GCD of 240, 918, 35, 281 on our page.


3. How to find GCD of 240, 918, 35, 281 on a calculator?

You can find the GCD of 240, 918, 35, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.