GCD of 108, 830, 145, 792 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 108, 830, 145, 792 i.e. 1 largest integer that divides all the numbers equally.

GCD of 108, 830, 145, 792 is 1

GCD(108, 830, 145, 792) = 1

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

GCD of

GCD of numbers 108, 830, 145, 792 is 1

GCD(108, 830, 145, 792) = 1

GCD of 108,830,145,792 Calculator

GCDof 108,830,145,792 is 1

Given Input numbers are 108, 830, 145, 792

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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

Greatest Common Divisior

We found the divisors of 108, 830, 145, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 830, 145, 792 is 1.

Therefore, GCD of numbers 108, 830, 145, 792 is 1

Finding GCD of 108, 830, 145, 792 using Prime Factorization

Given Input Data is 108, 830, 145, 792

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 145 is 5 x 29

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

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

Finding GCD of 108, 830, 145, 792 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(108, 830) = 44820

GCD(108, 830) = ( 108 x 830 ) / 44820

GCD(108, 830) = 89640 / 44820

GCD(108, 830) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 108, 830, 145, 792 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 108, 830, 145, 792

1. What is the GCD of 108, 830, 145, 792?

GCD of 108, 830, 145, 792 is 1


2. Where do I get the detailed procedure to find GCD of 108, 830, 145, 792?

You can find a detailed procedure to find GCD of 108, 830, 145, 792 on our page.


3. How to find GCD of 108, 830, 145, 792 on a calculator?

You can find the GCD of 108, 830, 145, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.