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, 827, 36, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 827, 36, 382 is 1
GCD(300, 827, 36, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 827, 36, 382 is 1
GCD(300, 827, 36, 382) = 1
Given Input numbers are 300, 827, 36, 382
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 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 300, 827, 36, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 827, 36, 382 is 1.
Therefore, GCD of numbers 300, 827, 36, 382 is 1
Given Input Data is 300, 827, 36, 382
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 827 is 827
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 382 is 2 x 191
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, 827) = 248100
GCD(300, 827) = ( 300 x 827 ) / 248100
GCD(300, 827) = 248100 / 248100
GCD(300, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
GCD of 300, 827, 36, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 827, 36, 382?
GCD of 300, 827, 36, 382 is 1
2. Where do I get the detailed procedure to find GCD of 300, 827, 36, 382?
You can find a detailed procedure to find GCD of 300, 827, 36, 382 on our page.
3. How to find GCD of 300, 827, 36, 382 on a calculator?
You can find the GCD of 300, 827, 36, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.