GCD of 54, 72, 90 Calculator

Given Input numbers are 54, 72, 90

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 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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 54, 72, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 72, 90 is 18.

Therefore, GCD of numbers 54, 72, 90 is 18

Given Input Data is 54, 72, 90

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 90 is 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹ x 3²

Multiplying them we get the GCD as 18

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, 72) = 216

GCD(54, 72) = ( 54 x 72 ) / 216

GCD(54, 72) = 3888 / 216

GCD(54, 72) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 90

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

LCM(18, 90) = 90

GCD(18, 90) = ( 18 x 90 ) / 90

GCD(18, 90) = 1620 / 90

GCD(18, 90) = 18

GCD of 54, 72, 90 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 87, 29
• GCD of 65, 66, 48
• GCD of 26, 77, 27
• GCD of 96, 57, 12
• GCD of 44, 92, 64

1. What is the GCD of 54, 72, 90?

GCD of 54, 72, 90 is 18

2. Where do I get the detailed procedure to find GCD of 54, 72, 90?

You can find a detailed procedure to find GCD of 54, 72, 90 on our page.

3. How to find GCD of 54, 72, 90 on a calculator?

You can find the GCD of 54, 72, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.