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 399, 413, 299, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 413, 299, 892 is 1
GCD(399, 413, 299, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 413, 299, 892 is 1
GCD(399, 413, 299, 892) = 1
Given Input numbers are 399, 413, 299, 892
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 399, 413, 299, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 413, 299, 892 is 1.
Therefore, GCD of numbers 399, 413, 299, 892 is 1
Given Input Data is 399, 413, 299, 892
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 413 is 7 x 59
Prime Factorization of 299 is 13 x 23
Prime Factorization of 892 is 2 x 2 x 223
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(399, 413) = 23541
GCD(399, 413) = ( 399 x 413 ) / 23541
GCD(399, 413) = 164787 / 23541
GCD(399, 413) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 299) = 2093
GCD(7, 299) = ( 7 x 299 ) / 2093
GCD(7, 299) = 2093 / 2093
GCD(7, 299) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 399, 413, 299, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 413, 299, 892?
GCD of 399, 413, 299, 892 is 1
2. Where do I get the detailed procedure to find GCD of 399, 413, 299, 892?
You can find a detailed procedure to find GCD of 399, 413, 299, 892 on our page.
3. How to find GCD of 399, 413, 299, 892 on a calculator?
You can find the GCD of 399, 413, 299, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.