GCD of 69, 81, 93 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 69, 81, 93 i.e. 3 largest integer that divides all the numbers equally.

GCD of 69, 81, 93 is 3

GCD(69, 81, 93) = 3

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

GCD of

Finding GCD of 69, 81, 93 using Factoring

Given Input numbers are 69, 81, 93

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Greatest Common Divisior

We found the divisors of 69, 81, 93 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 81, 93 is 3.

Therefore, GCD of numbers 69, 81, 93 is 3

Finding GCD of 69, 81, 93 using Prime Factorization

Given Input Data is 69, 81, 93

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 93 is 3 x 31

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 69, 81, 93 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(69, 81) = 1863

GCD(69, 81) = ( 69 x 81 ) / 1863

GCD(69, 81) = 5589 / 1863

GCD(69, 81) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

GCD of 69, 81, 93 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 69, 81, 93

1. What is the GCD of 69, 81, 93?

GCD of 69, 81, 93 is 3


2. Where do I get the detailed procedure to find GCD of 69, 81, 93?

You can find a detailed procedure to find GCD of 69, 81, 93 on our page.


3. How to find GCD of 69, 81, 93 on a calculator?

You can find the GCD of 69, 81, 93 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.


GCD of 69,81,93 Calculator