GCD of 815, 300, 300 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 815, 300, 300 i.e. 5 largest integer that divides all the numbers equally.
GCD of 815, 300, 300 is 5
GCD(815, 300, 300) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 300, 300 is 5
GCD(815, 300, 300) = 5
GCDof 815,300,300 is 5
Given Input numbers are 815, 300, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 815, 300, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 300, 300 is 5.
Therefore, GCD of numbers 815, 300, 300 is 5
Given Input Data is 815, 300, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 815, 300, 300 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(815, 300) = 48900
GCD(815, 300) = ( 815 x 300 ) / 48900
GCD(815, 300) = 244500 / 48900
GCD(815, 300) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 300) = 300
GCD(5, 300) = ( 5 x 300 ) / 300
GCD(5, 300) = 1500 / 300
GCD(5, 300) = 5
GCD of 815, 300, 300 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 815, 300, 300
1. What is the GCD of 815, 300, 300?
GCD of 815, 300, 300 is 5
2. Where do I get the detailed procedure to find GCD of 815, 300, 300?
You can find a detailed procedure to find GCD of 815, 300, 300 on our page.
3. How to find GCD of 815, 300, 300 on a calculator?
You can find the GCD of 815, 300, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
