GCD of 54, 24, 72 Calculator

Given Input numbers are 54, 24, 72

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 24

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

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 54, 24, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 24, 72 is 6.

Therefore, GCD of numbers 54, 24, 72 is 6

Given Input Data is 54, 24, 72

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 24 is 2 x 2 x 2 x 3

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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, 24) = 216

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

GCD(54, 24) = 1296 / 216

GCD(54, 24) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

GCD of 54, 24, 72 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 33, 78
• GCD of 54, 40, 86
• GCD of 56, 55, 12
• GCD of 99, 91, 16
• GCD of 23, 64, 95

1. What is the GCD of 54, 24, 72?

GCD of 54, 24, 72 is 6

2. Where do I get the detailed procedure to find GCD of 54, 24, 72?

You can find a detailed procedure to find GCD of 54, 24, 72 on our page.

3. How to find GCD of 54, 24, 72 on a calculator?

You can find the GCD of 54, 24, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.