GCD of 834, 108, 38, 435 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 834, 108, 38, 435 i.e. 1 largest integer that divides all the numbers equally.

GCD of 834, 108, 38, 435 is 1

GCD(834, 108, 38, 435) = 1

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

GCD of

GCD of numbers 834, 108, 38, 435 is 1

GCD(834, 108, 38, 435) = 1

GCD of 834,108,38,435 Calculator

GCDof 834,108,38,435 is 1

Given Input numbers are 834, 108, 38, 435

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 834, 108, 38, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 108, 38, 435 is 1.

Therefore, GCD of numbers 834, 108, 38, 435 is 1

Finding GCD of 834, 108, 38, 435 using Prime Factorization

Given Input Data is 834, 108, 38, 435

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

Prime Factorization of 834 is 2 x 3 x 139

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 435 is 3 x 5 x 29

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

Finding GCD of 834, 108, 38, 435 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(834, 108) = 15012

GCD(834, 108) = ( 834 x 108 ) / 15012

GCD(834, 108) = 90072 / 15012

GCD(834, 108) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1

GCD of 834, 108, 38, 435 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 834, 108, 38, 435

1. What is the GCD of 834, 108, 38, 435?

GCD of 834, 108, 38, 435 is 1


2. Where do I get the detailed procedure to find GCD of 834, 108, 38, 435?

You can find a detailed procedure to find GCD of 834, 108, 38, 435 on our page.


3. How to find GCD of 834, 108, 38, 435 on a calculator?

You can find the GCD of 834, 108, 38, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.