GCD of 24, 54, 56, 82 Calculator

Given Input numbers are 24, 54, 56, 82

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

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 24, 54, 56, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 54, 56, 82 is 2.

Therefore, GCD of numbers 24, 54, 56, 82 is 2

Given Input Data is 24, 54, 56, 82

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

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 56 is 2 x 2 x 2 x 7

Prime Factorization of 82 is 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(24, 54) = 216

GCD(24, 54) = ( 24 x 54 ) / 216

GCD(24, 54) = 1296 / 216

GCD(24, 54) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

GCD of 24, 54, 56, 82 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 91, 97, 97
• GCD of 73, 75, 62, 45
• GCD of 28, 28, 84, 26
• GCD of 91, 96, 18, 43
• GCD of 73, 42, 98, 80

1. What is the GCD of 24, 54, 56, 82?

GCD of 24, 54, 56, 82 is 2

2. Where do I get the detailed procedure to find GCD of 24, 54, 56, 82?

You can find a detailed procedure to find GCD of 24, 54, 56, 82 on our page.

3. How to find GCD of 24, 54, 56, 82 on a calculator?

You can find the GCD of 24, 54, 56, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.