GCD of 16, 28, 76 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 16, 28, 76 i.e. 4 largest integer that divides all the numbers equally.

GCD of 16, 28, 76 is 4

GCD(16, 28, 76) = 4

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

GCD of

GCD of numbers 16, 28, 76 is 4

GCD(16, 28, 76) = 4

GCD of 16,28,76 Calculator

GCDof 16,28,76 is 4

Given Input numbers are 16, 28, 76

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 16, 28, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 28, 76 is 4.

Therefore, GCD of numbers 16, 28, 76 is 4

Finding GCD of 16, 28, 76 using Prime Factorization

Given Input Data is 16, 28, 76

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 76 is 2 x 2 x 19

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 16, 28, 76 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(16, 28) = 112

GCD(16, 28) = ( 16 x 28 ) / 112

GCD(16, 28) = 448 / 112

GCD(16, 28) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

GCD of 16, 28, 76 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 16, 28, 76

1. What is the GCD of 16, 28, 76?

GCD of 16, 28, 76 is 4

2. Where do I get the detailed procedure to find GCD of 16, 28, 76?

You can find a detailed procedure to find GCD of 16, 28, 76 on our page.

3. How to find GCD of 16, 28, 76 on a calculator?

You can find the GCD of 16, 28, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.