GCD of 28, 72, 84 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 28, 72, 84 i.e. 4 largest integer that divides all the numbers equally.
GCD of 28, 72, 84 is 4
GCD(28, 72, 84) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 72, 84 is 4
GCD(28, 72, 84) = 4
GCDof 28,72,84 is 4
Given Input numbers are 28, 72, 84
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 28, 72, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 72, 84 is 4.
Therefore, GCD of numbers 28, 72, 84 is 4
Given Input Data is 28, 72, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 84 is 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 28, 72, 84 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(28, 72) = 504
GCD(28, 72) = ( 28 x 72 ) / 504
GCD(28, 72) = 2016 / 504
GCD(28, 72) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 84) = 84
GCD(4, 84) = ( 4 x 84 ) / 84
GCD(4, 84) = 336 / 84
GCD(4, 84) = 4
GCD of 28, 72, 84 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 28, 72, 84
1. What is the GCD of 28, 72, 84?
GCD of 28, 72, 84 is 4
2. Where do I get the detailed procedure to find GCD of 28, 72, 84?
You can find a detailed procedure to find GCD of 28, 72, 84 on our page.
3. How to find GCD of 28, 72, 84 on a calculator?
You can find the GCD of 28, 72, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.