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GCD of 81, 78, 75, 48 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 81, 78, 75, 48 i.e. 3 largest integer that divides all the numbers equally.

GCD of 81, 78, 75, 48 is 3

GCD(81, 78, 75, 48) = 3

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

GCD of

GCD of numbers 81, 78, 75, 48 is 3

GCD(81, 78, 75, 48) = 3

Finding GCD of 81, 78, 75, 48 using Factoring

Given Input numbers are 81, 78, 75, 48

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

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Greatest Common Divisior

We found the divisors of 81, 78, 75, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 78, 75, 48 is 3.

Therefore, GCD of numbers 81, 78, 75, 48 is 3

Finding GCD of 81, 78, 75, 48 using Prime Factorization

Given Input Data is 81, 78, 75, 48

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

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 81, 78, 75, 48 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(81, 78) = 2106

GCD(81, 78) = ( 81 x 78 ) / 2106

GCD(81, 78) = 6318 / 2106

GCD(81, 78) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

GCD of 81, 78, 75, 48 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 81, 78, 75, 48

1. What is the GCD of 81, 78, 75, 48?

GCD of 81, 78, 75, 48 is 3


2. Where do I get the detailed procedure to find GCD of 81, 78, 75, 48?

You can find a detailed procedure to find GCD of 81, 78, 75, 48 on our page.


3. How to find GCD of 81, 78, 75, 48 on a calculator?

You can find the GCD of 81, 78, 75, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.