GCD of 54, 81, 57, 24 Calculator

Given Input numbers are 54, 81, 57, 24

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

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 24

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

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

Greatest Common Divisior

We found the divisors of 54, 81, 57, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 81, 57, 24 is 3.

Therefore, GCD of numbers 54, 81, 57, 24 is 3

Given Input Data is 54, 81, 57, 24

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

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 57 is 3 x 19

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(54, 81) = 162

GCD(54, 81) = ( 54 x 81 ) / 162

GCD(54, 81) = 4374 / 162

GCD(54, 81) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 57

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

LCM(27, 57) = 513

GCD(27, 57) = ( 27 x 57 ) / 513

GCD(27, 57) = 1539 / 513

GCD(27, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

GCD of 54, 81, 57, 24 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 46, 15, 94
• GCD of 28, 96, 97, 26
• GCD of 95, 54, 96, 81
• GCD of 75, 97, 25, 53
• GCD of 65, 18, 50, 44

1. What is the GCD of 54, 81, 57, 24?

GCD of 54, 81, 57, 24 is 3

2. Where do I get the detailed procedure to find GCD of 54, 81, 57, 24?

You can find a detailed procedure to find GCD of 54, 81, 57, 24 on our page.

3. How to find GCD of 54, 81, 57, 24 on a calculator?

You can find the GCD of 54, 81, 57, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.