GCD of 180, 405, 48 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 180, 405, 48 i.e. 3 largest integer that divides all the numbers equally.
GCD of 180, 405, 48 is 3
GCD(180, 405, 48) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 405, 48 is 3
GCD(180, 405, 48) = 3
GCDof 180,405,48 is 3
Given Input numbers are 180, 405, 48
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest Common Divisior
We found the divisors of 180, 405, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 405, 48 is 3.
Therefore, GCD of numbers 180, 405, 48 is 3
Given Input Data is 180, 405, 48
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 180, 405, 48 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(180, 405) = 1620
GCD(180, 405) = ( 180 x 405 ) / 1620
GCD(180, 405) = 72900 / 1620
GCD(180, 405) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 48) = 720
GCD(45, 48) = ( 45 x 48 ) / 720
GCD(45, 48) = 2160 / 720
GCD(45, 48) = 3
GCD of 180, 405, 48 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 180, 405, 48
1. What is the GCD of 180, 405, 48?
GCD of 180, 405, 48 is 3
2. Where do I get the detailed procedure to find GCD of 180, 405, 48?
You can find a detailed procedure to find GCD of 180, 405, 48 on our page.
3. How to find GCD of 180, 405, 48 on a calculator?
You can find the GCD of 180, 405, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.