GCD of 276, 888, 590, 382 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 276, 888, 590, 382 i.e. 2 largest integer that divides all the numbers equally.

GCD of 276, 888, 590, 382 is 2

GCD(276, 888, 590, 382) = 2

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

GCD of

GCD of numbers 276, 888, 590, 382 is 2

GCD(276, 888, 590, 382) = 2

GCD of 276,888,590,382 Calculator

GCDof 276,888,590,382 is 2

Given Input numbers are 276, 888, 590, 382

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 276, 888, 590, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 888, 590, 382 is 2.

Therefore, GCD of numbers 276, 888, 590, 382 is 2

Finding GCD of 276, 888, 590, 382 using Prime Factorization

Given Input Data is 276, 888, 590, 382

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 382 is 2 x 191

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 276, 888, 590, 382 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(276, 888) = 20424

GCD(276, 888) = ( 276 x 888 ) / 20424

GCD(276, 888) = 245088 / 20424

GCD(276, 888) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 590

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

LCM(12, 590) = 3540

GCD(12, 590) = ( 12 x 590 ) / 3540

GCD(12, 590) = 7080 / 3540

GCD(12, 590) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 276, 888, 590, 382 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 276, 888, 590, 382

1. What is the GCD of 276, 888, 590, 382?

GCD of 276, 888, 590, 382 is 2


2. Where do I get the detailed procedure to find GCD of 276, 888, 590, 382?

You can find a detailed procedure to find GCD of 276, 888, 590, 382 on our page.


3. How to find GCD of 276, 888, 590, 382 on a calculator?

You can find the GCD of 276, 888, 590, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.