GCD of 628, 729, 10, 368 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 628, 729, 10, 368 i.e. 1 largest integer that divides all the numbers equally.

GCD of 628, 729, 10, 368 is 1

GCD(628, 729, 10, 368) = 1

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

GCD of

GCD of numbers 628, 729, 10, 368 is 1

GCD(628, 729, 10, 368) = 1

GCD of 628,729,10,368 Calculator

GCDof 628,729,10,368 is 1

Given Input numbers are 628, 729, 10, 368

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 10

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

1, 2, 5, 10

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 628, 729, 10, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 729, 10, 368 is 1.

Therefore, GCD of numbers 628, 729, 10, 368 is 1

Finding GCD of 628, 729, 10, 368 using Prime Factorization

Given Input Data is 628, 729, 10, 368

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 10 is 2 x 5

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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

Finding GCD of 628, 729, 10, 368 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(628, 729) = 457812

GCD(628, 729) = ( 628 x 729 ) / 457812

GCD(628, 729) = 457812 / 457812

GCD(628, 729) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 628, 729, 10, 368 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 628, 729, 10, 368

1. What is the GCD of 628, 729, 10, 368?

GCD of 628, 729, 10, 368 is 1


2. Where do I get the detailed procedure to find GCD of 628, 729, 10, 368?

You can find a detailed procedure to find GCD of 628, 729, 10, 368 on our page.


3. How to find GCD of 628, 729, 10, 368 on a calculator?

You can find the GCD of 628, 729, 10, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.