GCD of 992, 842, 72, 580 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 992, 842, 72, 580 i.e. 2 largest integer that divides all the numbers equally.

GCD of 992, 842, 72, 580 is 2

GCD(992, 842, 72, 580) = 2

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

GCD of

GCD of numbers 992, 842, 72, 580 is 2

GCD(992, 842, 72, 580) = 2

GCD of 992,842,72,580 Calculator

GCDof 992,842,72,580 is 2

Given Input numbers are 992, 842, 72, 580

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 842

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

1, 2, 421, 842

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 992, 842, 72, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 842, 72, 580 is 2.

Therefore, GCD of numbers 992, 842, 72, 580 is 2

Finding GCD of 992, 842, 72, 580 using Prime Factorization

Given Input Data is 992, 842, 72, 580

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 842 is 2 x 421

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 580 is 2 x 2 x 5 x 29

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 992, 842, 72, 580 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(992, 842) = 417632

GCD(992, 842) = ( 992 x 842 ) / 417632

GCD(992, 842) = 835264 / 417632

GCD(992, 842) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 992, 842, 72, 580 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 992, 842, 72, 580

1. What is the GCD of 992, 842, 72, 580?

GCD of 992, 842, 72, 580 is 2


2. Where do I get the detailed procedure to find GCD of 992, 842, 72, 580?

You can find a detailed procedure to find GCD of 992, 842, 72, 580 on our page.


3. How to find GCD of 992, 842, 72, 580 on a calculator?

You can find the GCD of 992, 842, 72, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.