GCD of 54, 70, 18 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 54, 70, 18 i.e. 2 largest integer that divides all the numbers equally.

GCD of 54, 70, 18 is 2

GCD(54, 70, 18) = 2

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

GCD of

GCD of numbers 54, 70, 18 is 2

GCD(54, 70, 18) = 2

GCD of 54,70,18 Calculator

GCDof 54,70,18 is 2

Given Input numbers are 54, 70, 18

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 54, 70, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 70, 18 is 2.

Therefore, GCD of numbers 54, 70, 18 is 2

Finding GCD of 54, 70, 18 using Prime Factorization

Given Input Data is 54, 70, 18

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 70 is 2 x 5 x 7

Prime Factorization of 18 is 2 x 3 x 3

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 54, 70, 18 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(54, 70) = 1890

GCD(54, 70) = ( 54 x 70 ) / 1890

GCD(54, 70) = 3780 / 1890

GCD(54, 70) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

GCD of 54, 70, 18 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 54, 70, 18

1. What is the GCD of 54, 70, 18?

GCD of 54, 70, 18 is 2

2. Where do I get the detailed procedure to find GCD of 54, 70, 18?

You can find a detailed procedure to find GCD of 54, 70, 18 on our page.

3. How to find GCD of 54, 70, 18 on a calculator?

You can find the GCD of 54, 70, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.