GCD of 47, 24, 54, 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 47, 24, 54, 82 i.e. 1 largest integer that divides all the numbers equally.

GCD of 47, 24, 54, 82 is 1

GCD(47, 24, 54, 82) = 1

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

GCD of

GCD of numbers 47, 24, 54, 82 is 1

GCD(47, 24, 54, 82) = 1

GCD of 47,24,54,82 Calculator

GCDof 47,24,54,82 is 1

Given Input numbers are 47, 24, 54, 82

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 47, 24, 54, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 24, 54, 82 is 1.

Therefore, GCD of numbers 47, 24, 54, 82 is 1

Finding GCD of 47, 24, 54, 82 using Prime Factorization

Given Input Data is 47, 24, 54, 82

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

Prime Factorization of 47 is 47

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

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 47, 24, 54, 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(47, 24) = 1128

GCD(47, 24) = ( 47 x 24 ) / 1128

GCD(47, 24) = 1128 / 1128

GCD(47, 24) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 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 47, 24, 54, 82 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 47, 24, 54, 82

1. What is the GCD of 47, 24, 54, 82?

GCD of 47, 24, 54, 82 is 1


2. Where do I get the detailed procedure to find GCD of 47, 24, 54, 82?

You can find a detailed procedure to find GCD of 47, 24, 54, 82 on our page.


3. How to find GCD of 47, 24, 54, 82 on a calculator?

You can find the GCD of 47, 24, 54, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.