GCD of 30, 40, 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 30, 40, 72 i.e. 2 largest integer that divides all the numbers equally.
GCD of 30, 40, 72 is 2
GCD(30, 40, 72) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 40, 72 is 2
GCD(30, 40, 72) = 2
GCDof 30,40,72 is 2
Given Input numbers are 30, 40, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
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 30, 40, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 40, 72 is 2.
Therefore, GCD of numbers 30, 40, 72 is 2
Given Input Data is 30, 40, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 40 is 2 x 2 x 2 x 5
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 30, 40, 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(30, 40) = 120
GCD(30, 40) = ( 30 x 40 ) / 120
GCD(30, 40) = 1200 / 120
GCD(30, 40) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 72) = 360
GCD(10, 72) = ( 10 x 72 ) / 360
GCD(10, 72) = 720 / 360
GCD(10, 72) = 2
GCD of 30, 40, 72 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 30, 40, 72
1. What is the GCD of 30, 40, 72?
GCD of 30, 40, 72 is 2
2. Where do I get the detailed procedure to find GCD of 30, 40, 72?
You can find a detailed procedure to find GCD of 30, 40, 72 on our page.
3. How to find GCD of 30, 40, 72 on a calculator?
You can find the GCD of 30, 40, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.