GCD of 86, 96, 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 86, 96, 18 i.e. 2 largest integer that divides all the numbers equally.

GCD of 86, 96, 18 is 2

GCD(86, 96, 18) = 2

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

GCD of

GCD of numbers 86, 96, 18 is 2

GCD(86, 96, 18) = 2

GCD of 86,96,18 Calculator

GCDof 86,96,18 is 2

Given Input numbers are 86, 96, 18

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 86, 96, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 96, 18 is 2.

Therefore, GCD of numbers 86, 96, 18 is 2

Finding GCD of 86, 96, 18 using Prime Factorization

Given Input Data is 86, 96, 18

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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 86, 96, 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(86, 96) = 4128

GCD(86, 96) = ( 86 x 96 ) / 4128

GCD(86, 96) = 8256 / 4128

GCD(86, 96) = 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 86, 96, 18 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 86, 96, 18

1. What is the GCD of 86, 96, 18?

GCD of 86, 96, 18 is 2

2. Where do I get the detailed procedure to find GCD of 86, 96, 18?

You can find a detailed procedure to find GCD of 86, 96, 18 on our page.

3. How to find GCD of 86, 96, 18 on a calculator?

You can find the GCD of 86, 96, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.