GCD of 442, 240, 708, 231 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 442, 240, 708, 231 i.e. 1 largest integer that divides all the numbers equally.

GCD of 442, 240, 708, 231 is 1

GCD(442, 240, 708, 231) = 1

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

GCD of

GCD of numbers 442, 240, 708, 231 is 1

GCD(442, 240, 708, 231) = 1

GCD of 442,240,708,231 Calculator

GCDof 442,240,708,231 is 1

Given Input numbers are 442, 240, 708, 231

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 442, 240, 708, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 240, 708, 231 is 1.

Therefore, GCD of numbers 442, 240, 708, 231 is 1

Finding GCD of 442, 240, 708, 231 using Prime Factorization

Given Input Data is 442, 240, 708, 231

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 231 is 3 x 7 x 11

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

Finding GCD of 442, 240, 708, 231 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(442, 240) = 53040

GCD(442, 240) = ( 442 x 240 ) / 53040

GCD(442, 240) = 106080 / 53040

GCD(442, 240) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

GCD of 442, 240, 708, 231 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 442, 240, 708, 231

1. What is the GCD of 442, 240, 708, 231?

GCD of 442, 240, 708, 231 is 1


2. Where do I get the detailed procedure to find GCD of 442, 240, 708, 231?

You can find a detailed procedure to find GCD of 442, 240, 708, 231 on our page.


3. How to find GCD of 442, 240, 708, 231 on a calculator?

You can find the GCD of 442, 240, 708, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.