GCD of 360, 480, 18 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 360, 480, 18 i.e. 6 largest integer that divides all the numbers equally.
GCD of 360, 480, 18 is 6
GCD(360, 480, 18) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 480, 18 is 6
GCD(360, 480, 18) = 6
GCDof 360,480,18 is 6
Given Input numbers are 360, 480, 18
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Greatest Common Divisior
We found the divisors of 360, 480, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 480, 18 is 6.
Therefore, GCD of numbers 360, 480, 18 is 6
Given Input Data is 360, 480, 18
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 18 is 2 x 3 x 3
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
Finding GCD of 360, 480, 18 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(360, 480) = 1440
GCD(360, 480) = ( 360 x 480 ) / 1440
GCD(360, 480) = 172800 / 1440
GCD(360, 480) = 120
Step2:
Here we consider the GCD from the above i.e. 120 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(120, 18) = 360
GCD(120, 18) = ( 120 x 18 ) / 360
GCD(120, 18) = 2160 / 360
GCD(120, 18) = 6
GCD of 360, 480, 18 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 360, 480, 18
1. What is the GCD of 360, 480, 18?
GCD of 360, 480, 18 is 6
2. Where do I get the detailed procedure to find GCD of 360, 480, 18?
You can find a detailed procedure to find GCD of 360, 480, 18 on our page.
3. How to find GCD of 360, 480, 18 on a calculator?
You can find the GCD of 360, 480, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.