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 300, 195, 18, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 195, 18, 803 is 1
GCD(300, 195, 18, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 195, 18, 803 is 1
GCD(300, 195, 18, 803) = 1
Given Input numbers are 300, 195, 18, 803
To find the GCD of numbers using factoring list out all the divisors of each number
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 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Greatest Common Divisior
We found the divisors of 300, 195, 18, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 195, 18, 803 is 1.
Therefore, GCD of numbers 300, 195, 18, 803 is 1
Given Input Data is 300, 195, 18, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 803 is 11 x 73
The above numbers do not have any common prime factor. So GCD is 1
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(300, 195) = 3900
GCD(300, 195) = ( 300 x 195 ) / 3900
GCD(300, 195) = 58500 / 3900
GCD(300, 195) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 18) = 90
GCD(15, 18) = ( 15 x 18 ) / 90
GCD(15, 18) = 270 / 90
GCD(15, 18) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 803) = 2409
GCD(3, 803) = ( 3 x 803 ) / 2409
GCD(3, 803) = 2409 / 2409
GCD(3, 803) = 1
GCD of 300, 195, 18, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 195, 18, 803?
GCD of 300, 195, 18, 803 is 1
2. Where do I get the detailed procedure to find GCD of 300, 195, 18, 803?
You can find a detailed procedure to find GCD of 300, 195, 18, 803 on our page.
3. How to find GCD of 300, 195, 18, 803 on a calculator?
You can find the GCD of 300, 195, 18, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.