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 909, 414, 818, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 414, 818, 683 is 1
GCD(909, 414, 818, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 414, 818, 683 is 1
GCD(909, 414, 818, 683) = 1
Given Input numbers are 909, 414, 818, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 909, 414, 818, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 414, 818, 683 is 1.
Therefore, GCD of numbers 909, 414, 818, 683 is 1
Given Input Data is 909, 414, 818, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 818 is 2 x 409
Prime Factorization of 683 is 683
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(909, 414) = 41814
GCD(909, 414) = ( 909 x 414 ) / 41814
GCD(909, 414) = 376326 / 41814
GCD(909, 414) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 818) = 7362
GCD(9, 818) = ( 9 x 818 ) / 7362
GCD(9, 818) = 7362 / 7362
GCD(9, 818) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 909, 414, 818, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 414, 818, 683?
GCD of 909, 414, 818, 683 is 1
2. Where do I get the detailed procedure to find GCD of 909, 414, 818, 683?
You can find a detailed procedure to find GCD of 909, 414, 818, 683 on our page.
3. How to find GCD of 909, 414, 818, 683 on a calculator?
You can find the GCD of 909, 414, 818, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.