GCD of 869, 108, 492, 856 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 869, 108, 492, 856 i.e. 1 largest integer that divides all the numbers equally.

GCD of 869, 108, 492, 856 is 1

GCD(869, 108, 492, 856) = 1

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

GCD of

GCD of numbers 869, 108, 492, 856 is 1

GCD(869, 108, 492, 856) = 1

GCD of 869,108,492,856 Calculator

GCDof 869,108,492,856 is 1

Given Input numbers are 869, 108, 492, 856

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 869, 108, 492, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 108, 492, 856 is 1.

Therefore, GCD of numbers 869, 108, 492, 856 is 1

Finding GCD of 869, 108, 492, 856 using Prime Factorization

Given Input Data is 869, 108, 492, 856

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

Prime Factorization of 869 is 11 x 79

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 856 is 2 x 2 x 2 x 107

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

Finding GCD of 869, 108, 492, 856 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(869, 108) = 93852

GCD(869, 108) = ( 869 x 108 ) / 93852

GCD(869, 108) = 93852 / 93852

GCD(869, 108) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 869, 108, 492, 856 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 869, 108, 492, 856

1. What is the GCD of 869, 108, 492, 856?

GCD of 869, 108, 492, 856 is 1


2. Where do I get the detailed procedure to find GCD of 869, 108, 492, 856?

You can find a detailed procedure to find GCD of 869, 108, 492, 856 on our page.


3. How to find GCD of 869, 108, 492, 856 on a calculator?

You can find the GCD of 869, 108, 492, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.