GCD of 18, 16, 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 18, 16, 72 i.e. 2 largest integer that divides all the numbers equally.
GCD of 18, 16, 72 is 2
GCD(18, 16, 72) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 16, 72 is 2
GCD(18, 16, 72) = 2
GCDof 18,16,72 is 2
Given Input numbers are 18, 16, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
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 18, 16, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 16, 72 is 2.
Therefore, GCD of numbers 18, 16, 72 is 2
Given Input Data is 18, 16, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 18, 16, 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(18, 16) = 144
GCD(18, 16) = ( 18 x 16 ) / 144
GCD(18, 16) = 288 / 144
GCD(18, 16) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
GCD of 18, 16, 72 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 18, 16, 72
1. What is the GCD of 18, 16, 72?
GCD of 18, 16, 72 is 2
2. Where do I get the detailed procedure to find GCD of 18, 16, 72?
You can find a detailed procedure to find GCD of 18, 16, 72 on our page.
3. How to find GCD of 18, 16, 72 on a calculator?
You can find the GCD of 18, 16, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.