GCD of 10, 384, 626, 880 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 10, 384, 626, 880 i.e. 2 largest integer that divides all the numbers equally.

GCD of 10, 384, 626, 880 is 2

GCD(10, 384, 626, 880) = 2

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

GCD of

GCD of numbers 10, 384, 626, 880 is 2

GCD(10, 384, 626, 880) = 2

GCD of 10,384,626,880 Calculator

GCDof 10,384,626,880 is 2

Given Input numbers are 10, 384, 626, 880

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 10, 384, 626, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 384, 626, 880 is 2.

Therefore, GCD of numbers 10, 384, 626, 880 is 2

Finding GCD of 10, 384, 626, 880 using Prime Factorization

Given Input Data is 10, 384, 626, 880

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 626 is 2 x 313

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 10, 384, 626, 880 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(10, 384) = 1920

GCD(10, 384) = ( 10 x 384 ) / 1920

GCD(10, 384) = 3840 / 1920

GCD(10, 384) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 626

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

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

GCD(2, 626) = 1252 / 626

GCD(2, 626) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2

GCD of 10, 384, 626, 880 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 10, 384, 626, 880

1. What is the GCD of 10, 384, 626, 880?

GCD of 10, 384, 626, 880 is 2


2. Where do I get the detailed procedure to find GCD of 10, 384, 626, 880?

You can find a detailed procedure to find GCD of 10, 384, 626, 880 on our page.


3. How to find GCD of 10, 384, 626, 880 on a calculator?

You can find the GCD of 10, 384, 626, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.