GCD of 660, 225, 314 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 660, 225, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 225, 314 is 1
GCD(660, 225, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 225, 314 is 1
GCD(660, 225, 314) = 1
GCDof 660,225,314 is 1
Given Input numbers are 660, 225, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 660, 225, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 225, 314 is 1.
Therefore, GCD of numbers 660, 225, 314 is 1
Given Input Data is 660, 225, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 314 is 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 660, 225, 314 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(660, 225) = 9900
GCD(660, 225) = ( 660 x 225 ) / 9900
GCD(660, 225) = 148500 / 9900
GCD(660, 225) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 314) = 4710
GCD(15, 314) = ( 15 x 314 ) / 4710
GCD(15, 314) = 4710 / 4710
GCD(15, 314) = 1
GCD of 660, 225, 314 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 660, 225, 314
1. What is the GCD of 660, 225, 314?
GCD of 660, 225, 314 is 1
2. Where do I get the detailed procedure to find GCD of 660, 225, 314?
You can find a detailed procedure to find GCD of 660, 225, 314 on our page.
3. How to find GCD of 660, 225, 314 on a calculator?
You can find the GCD of 660, 225, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.