GCD of 16, 84, 72 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, 84, 72 i.e. 4 largest integer that divides all the numbers equally.
GCD of 16, 84, 72 is 4
GCD(16, 84, 72) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 84, 72 is 4
GCD(16, 84, 72) = 4
GCDof 16,84,72 is 4
Given Input numbers are 16, 84, 72
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 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
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
Greatest Common Divisior
We found the divisors of 16, 84, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 84, 72 is 4.
Therefore, GCD of numbers 16, 84, 72 is 4
Given Input Data is 16, 84, 72
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 84 is 2 x 2 x 3 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 16, 84, 72 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, 84) = 336
GCD(16, 84) = ( 16 x 84 ) / 336
GCD(16, 84) = 1344 / 336
GCD(16, 84) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
GCD(4, 72) = 288 / 72
GCD(4, 72) = 4
GCD of 16, 84, 72 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 16, 84, 72
1. What is the GCD of 16, 84, 72?
GCD of 16, 84, 72 is 4
2. Where do I get the detailed procedure to find GCD of 16, 84, 72?
You can find a detailed procedure to find GCD of 16, 84, 72 on our page.
3. How to find GCD of 16, 84, 72 on a calculator?
You can find the GCD of 16, 84, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.