GCD of 829, 154, 41, 203 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 829, 154, 41, 203 i.e. 1 largest integer that divides all the numbers equally.

GCD of 829, 154, 41, 203 is 1

GCD(829, 154, 41, 203) = 1

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

GCD of

GCD of numbers 829, 154, 41, 203 is 1

GCD(829, 154, 41, 203) = 1

GCD of 829,154,41,203 Calculator

GCDof 829,154,41,203 is 1

Given Input numbers are 829, 154, 41, 203

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 829, 154, 41, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 154, 41, 203 is 1.

Therefore, GCD of numbers 829, 154, 41, 203 is 1

Finding GCD of 829, 154, 41, 203 using Prime Factorization

Given Input Data is 829, 154, 41, 203

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

Prime Factorization of 829 is 829

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 41 is 41

Prime Factorization of 203 is 7 x 29

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

Finding GCD of 829, 154, 41, 203 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(829, 154) = 127666

GCD(829, 154) = ( 829 x 154 ) / 127666

GCD(829, 154) = 127666 / 127666

GCD(829, 154) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 829, 154, 41, 203 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 829, 154, 41, 203

1. What is the GCD of 829, 154, 41, 203?

GCD of 829, 154, 41, 203 is 1


2. Where do I get the detailed procedure to find GCD of 829, 154, 41, 203?

You can find a detailed procedure to find GCD of 829, 154, 41, 203 on our page.


3. How to find GCD of 829, 154, 41, 203 on a calculator?

You can find the GCD of 829, 154, 41, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.