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 383, 353, 999, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 383, 353, 999, 249 is 1
GCD(383, 353, 999, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 383, 353, 999, 249 is 1
GCD(383, 353, 999, 249) = 1
Given Input numbers are 383, 353, 999, 249
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 383, 353, 999, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 353, 999, 249 is 1.
Therefore, GCD of numbers 383, 353, 999, 249 is 1
Given Input Data is 383, 353, 999, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 383 is 383
Prime Factorization of 353 is 353
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 249 is 3 x 83
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(383, 353) = 135199
GCD(383, 353) = ( 383 x 353 ) / 135199
GCD(383, 353) = 135199 / 135199
GCD(383, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 383, 353, 999, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 383, 353, 999, 249?
GCD of 383, 353, 999, 249 is 1
2. Where do I get the detailed procedure to find GCD of 383, 353, 999, 249?
You can find a detailed procedure to find GCD of 383, 353, 999, 249 on our page.
3. How to find GCD of 383, 353, 999, 249 on a calculator?
You can find the GCD of 383, 353, 999, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.