GCD of 225, 620, 309 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, 620, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 620, 309 is 1
GCD(225, 620, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 620, 309 is 1
GCD(225, 620, 309) = 1
GCDof 225,620,309 is 1
Given Input numbers are 225, 620, 309
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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 225, 620, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 620, 309 is 1.
Therefore, GCD of numbers 225, 620, 309 is 1
Given Input Data is 225, 620, 309
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 620 is 2 x 2 x 5 x 31
Prime Factorization of 309 is 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 225, 620, 309 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, 620) = 27900
GCD(225, 620) = ( 225 x 620 ) / 27900
GCD(225, 620) = 139500 / 27900
GCD(225, 620) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 309) = 1545
GCD(5, 309) = ( 5 x 309 ) / 1545
GCD(5, 309) = 1545 / 1545
GCD(5, 309) = 1
GCD of 225, 620, 309 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 225, 620, 309
1. What is the GCD of 225, 620, 309?
GCD of 225, 620, 309 is 1
2. Where do I get the detailed procedure to find GCD of 225, 620, 309?
You can find a detailed procedure to find GCD of 225, 620, 309 on our page.
3. How to find GCD of 225, 620, 309 on a calculator?
You can find the GCD of 225, 620, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.