GCD of 792, 499, 85, 112 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 792, 499, 85, 112 i.e. 1 largest integer that divides all the numbers equally.

GCD of 792, 499, 85, 112 is 1

GCD(792, 499, 85, 112) = 1

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

GCD of

GCD of numbers 792, 499, 85, 112 is 1

GCD(792, 499, 85, 112) = 1

GCD of 792,499,85,112 Calculator

GCDof 792,499,85,112 is 1

Given Input numbers are 792, 499, 85, 112

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 792, 499, 85, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 499, 85, 112 is 1.

Therefore, GCD of numbers 792, 499, 85, 112 is 1

Finding GCD of 792, 499, 85, 112 using Prime Factorization

Given Input Data is 792, 499, 85, 112

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 499 is 499

Prime Factorization of 85 is 5 x 17

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Finding GCD of 792, 499, 85, 112 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(792, 499) = 395208

GCD(792, 499) = ( 792 x 499 ) / 395208

GCD(792, 499) = 395208 / 395208

GCD(792, 499) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 792, 499, 85, 112 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 792, 499, 85, 112

1. What is the GCD of 792, 499, 85, 112?

GCD of 792, 499, 85, 112 is 1


2. Where do I get the detailed procedure to find GCD of 792, 499, 85, 112?

You can find a detailed procedure to find GCD of 792, 499, 85, 112 on our page.


3. How to find GCD of 792, 499, 85, 112 on a calculator?

You can find the GCD of 792, 499, 85, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.