GCD of 999, 928, 59, 842 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 999, 928, 59, 842 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 928, 59, 842 is 1

GCD(999, 928, 59, 842) = 1

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

GCD of

GCD of numbers 999, 928, 59, 842 is 1

GCD(999, 928, 59, 842) = 1

GCD of 999,928,59,842 Calculator

GCDof 999,928,59,842 is 1

Given Input numbers are 999, 928, 59, 842

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 999, 928, 59, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 928, 59, 842 is 1.

Therefore, GCD of numbers 999, 928, 59, 842 is 1

Finding GCD of 999, 928, 59, 842 using Prime Factorization

Given Input Data is 999, 928, 59, 842

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 59 is 59

Prime Factorization of 842 is 2 x 421

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

Finding GCD of 999, 928, 59, 842 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(999, 928) = 927072

GCD(999, 928) = ( 999 x 928 ) / 927072

GCD(999, 928) = 927072 / 927072

GCD(999, 928) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 999, 928, 59, 842 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 928, 59, 842

1. What is the GCD of 999, 928, 59, 842?

GCD of 999, 928, 59, 842 is 1


2. Where do I get the detailed procedure to find GCD of 999, 928, 59, 842?

You can find a detailed procedure to find GCD of 999, 928, 59, 842 on our page.


3. How to find GCD of 999, 928, 59, 842 on a calculator?

You can find the GCD of 999, 928, 59, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.