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 909, 385, 387, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 385, 387, 300 is 1
GCD(909, 385, 387, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 385, 387, 300 is 1
GCD(909, 385, 387, 300) = 1
Given Input numbers are 909, 385, 387, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
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 909, 385, 387, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 385, 387, 300 is 1.
Therefore, GCD of numbers 909, 385, 387, 300 is 1
Given Input Data is 909, 385, 387, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(909, 385) = 349965
GCD(909, 385) = ( 909 x 385 ) / 349965
GCD(909, 385) = 349965 / 349965
GCD(909, 385) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
GCD of 909, 385, 387, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 385, 387, 300?
GCD of 909, 385, 387, 300 is 1
2. Where do I get the detailed procedure to find GCD of 909, 385, 387, 300?
You can find a detailed procedure to find GCD of 909, 385, 387, 300 on our page.
3. How to find GCD of 909, 385, 387, 300 on a calculator?
You can find the GCD of 909, 385, 387, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.