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 299, 107, 811, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 107, 811, 389 is 1
GCD(299, 107, 811, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 107, 811, 389 is 1
GCD(299, 107, 811, 389) = 1
Given Input numbers are 299, 107, 811, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 299, 107, 811, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 107, 811, 389 is 1.
Therefore, GCD of numbers 299, 107, 811, 389 is 1
Given Input Data is 299, 107, 811, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 107 is 107
Prime Factorization of 811 is 811
Prime Factorization of 389 is 389
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(299, 107) = 31993
GCD(299, 107) = ( 299 x 107 ) / 31993
GCD(299, 107) = 31993 / 31993
GCD(299, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 811) = 811
GCD(1, 811) = ( 1 x 811 ) / 811
GCD(1, 811) = 811 / 811
GCD(1, 811) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
GCD(1, 389) = 389 / 389
GCD(1, 389) = 1
GCD of 299, 107, 811, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 107, 811, 389?
GCD of 299, 107, 811, 389 is 1
2. Where do I get the detailed procedure to find GCD of 299, 107, 811, 389?
You can find a detailed procedure to find GCD of 299, 107, 811, 389 on our page.
3. How to find GCD of 299, 107, 811, 389 on a calculator?
You can find the GCD of 299, 107, 811, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.