GCD of 10, 20, 54 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 10, 20, 54 i.e. 2 largest integer that divides all the numbers equally.

GCD of 10, 20, 54 is 2

GCD(10, 20, 54) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 10, 20, 54 is 2

GCD(10, 20, 54) = 2

GCD of 10,20,54 Calculator

GCDof 10,20,54 is 2

Given Input numbers are 10, 20, 54

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 10, 20, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 20, 54 is 2.

Therefore, GCD of numbers 10, 20, 54 is 2

Finding GCD of 10, 20, 54 using Prime Factorization

Given Input Data is 10, 20, 54

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 20 is 2 x 2 x 5

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 10, 20, 54 using LCM Formula

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(10, 20) = 20

GCD(10, 20) = ( 10 x 20 ) / 20

GCD(10, 20) = 200 / 20

GCD(10, 20) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 54

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

LCM(10, 54) = 270

GCD(10, 54) = ( 10 x 54 ) / 270

GCD(10, 54) = 540 / 270

GCD(10, 54) = 2

GCD of 10, 20, 54 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 10, 20, 54

1. What is the GCD of 10, 20, 54?

GCD of 10, 20, 54 is 2

2. Where do I get the detailed procedure to find GCD of 10, 20, 54?

You can find a detailed procedure to find GCD of 10, 20, 54 on our page.

3. How to find GCD of 10, 20, 54 on a calculator?

You can find the GCD of 10, 20, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.