GCD of 28, 54, 68, 82 Calculator

Given Input numbers are 28, 54, 68, 82

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 28, 54, 68, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 54, 68, 82 is 2.

Therefore, GCD of numbers 28, 54, 68, 82 is 2

Given Input Data is 28, 54, 68, 82

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

Prime Factorization of 28 is 2 x 2 x 7

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

Prime Factorization of 68 is 2 x 2 x 17

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(28, 54) = 756

GCD(28, 54) = ( 28 x 54 ) / 756

GCD(28, 54) = 1512 / 756

GCD(28, 54) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 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 28, 54, 68, 82 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 95, 49, 33
• GCD of 33, 24, 53, 55
• GCD of 71, 68, 73, 27
• GCD of 61, 64, 39, 19
• GCD of 61, 58, 47, 27

1. What is the GCD of 28, 54, 68, 82?

GCD of 28, 54, 68, 82 is 2

2. Where do I get the detailed procedure to find GCD of 28, 54, 68, 82?

You can find a detailed procedure to find GCD of 28, 54, 68, 82 on our page.

3. How to find GCD of 28, 54, 68, 82 on a calculator?

You can find the GCD of 28, 54, 68, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.