GCD of 225, 216, 753 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 225, 216, 753 i.e. 3 largest integer that divides all the numbers equally.
GCD of 225, 216, 753 is 3
GCD(225, 216, 753) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 216, 753 is 3
GCD(225, 216, 753) = 3
GCDof 225,216,753 is 3
Given Input numbers are 225, 216, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 225, 216, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 216, 753 is 3.
Therefore, GCD of numbers 225, 216, 753 is 3
Given Input Data is 225, 216, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 753 is 3 x 251
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 225, 216, 753 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(225, 216) = 5400
GCD(225, 216) = ( 225 x 216 ) / 5400
GCD(225, 216) = 48600 / 5400
GCD(225, 216) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 753) = 2259
GCD(9, 753) = ( 9 x 753 ) / 2259
GCD(9, 753) = 6777 / 2259
GCD(9, 753) = 3
GCD of 225, 216, 753 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 225, 216, 753
1. What is the GCD of 225, 216, 753?
GCD of 225, 216, 753 is 3
2. Where do I get the detailed procedure to find GCD of 225, 216, 753?
You can find a detailed procedure to find GCD of 225, 216, 753 on our page.
3. How to find GCD of 225, 216, 753 on a calculator?
You can find the GCD of 225, 216, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.