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, 816, 43, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 383, 816, 43, 849 is 1
GCD(383, 816, 43, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 383, 816, 43, 849 is 1
GCD(383, 816, 43, 849) = 1
Given Input numbers are 383, 816, 43, 849
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 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 383, 816, 43, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 816, 43, 849 is 1.
Therefore, GCD of numbers 383, 816, 43, 849 is 1
Given Input Data is 383, 816, 43, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 383 is 383
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 43 is 43
Prime Factorization of 849 is 3 x 283
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, 816) = 312528
GCD(383, 816) = ( 383 x 816 ) / 312528
GCD(383, 816) = 312528 / 312528
GCD(383, 816) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
GCD of 383, 816, 43, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 383, 816, 43, 849?
GCD of 383, 816, 43, 849 is 1
2. Where do I get the detailed procedure to find GCD of 383, 816, 43, 849?
You can find a detailed procedure to find GCD of 383, 816, 43, 849 on our page.
3. How to find GCD of 383, 816, 43, 849 on a calculator?
You can find the GCD of 383, 816, 43, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.