GCD of 83, 34, 28, 41 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 83, 34, 28, 41 i.e. 1 largest integer that divides all the numbers equally.

GCD of 83, 34, 28, 41 is 1

GCD(83, 34, 28, 41) = 1

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

GCD of

GCD of numbers 83, 34, 28, 41 is 1

GCD(83, 34, 28, 41) = 1

GCD of 83,34,28,41 Calculator

GCDof 83,34,28,41 is 1

Given Input numbers are 83, 34, 28, 41

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 41

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

1, 41

Greatest Common Divisior

We found the divisors of 83, 34, 28, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 34, 28, 41 is 1.

Therefore, GCD of numbers 83, 34, 28, 41 is 1

Finding GCD of 83, 34, 28, 41 using Prime Factorization

Given Input Data is 83, 34, 28, 41

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

Prime Factorization of 83 is 83

Prime Factorization of 34 is 2 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 41 is 41

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

Finding GCD of 83, 34, 28, 41 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(83, 34) = 2822

GCD(83, 34) = ( 83 x 34 ) / 2822

GCD(83, 34) = 2822 / 2822

GCD(83, 34) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1


Step3:

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

GCD of 83, 34, 28, 41 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 83, 34, 28, 41

1. What is the GCD of 83, 34, 28, 41?

GCD of 83, 34, 28, 41 is 1


2. Where do I get the detailed procedure to find GCD of 83, 34, 28, 41?

You can find a detailed procedure to find GCD of 83, 34, 28, 41 on our page.


3. How to find GCD of 83, 34, 28, 41 on a calculator?

You can find the GCD of 83, 34, 28, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.