GCD of 35, 38, 51, 82 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 35, 38, 51, 82 i.e. 1 largest integer that divides all the numbers equally.

GCD of 35, 38, 51, 82 is 1

GCD(35, 38, 51, 82) = 1

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

GCD of

GCD of numbers 35, 38, 51, 82 is 1

GCD(35, 38, 51, 82) = 1

GCD of 35,38,51,82 Calculator

GCDof 35,38,51,82 is 1

Given Input numbers are 35, 38, 51, 82

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 38

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

1, 2, 19, 38

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 35, 38, 51, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 38, 51, 82 is 1.

Therefore, GCD of numbers 35, 38, 51, 82 is 1

Finding GCD of 35, 38, 51, 82 using Prime Factorization

Given Input Data is 35, 38, 51, 82

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 82 is 2 x 41

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

Finding GCD of 35, 38, 51, 82 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(35, 38) = 1330

GCD(35, 38) = ( 35 x 38 ) / 1330

GCD(35, 38) = 1330 / 1330

GCD(35, 38) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 35, 38, 51, 82 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 35, 38, 51, 82

1. What is the GCD of 35, 38, 51, 82?

GCD of 35, 38, 51, 82 is 1


2. Where do I get the detailed procedure to find GCD of 35, 38, 51, 82?

You can find a detailed procedure to find GCD of 35, 38, 51, 82 on our page.


3. How to find GCD of 35, 38, 51, 82 on a calculator?

You can find the GCD of 35, 38, 51, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.