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 798, 789, 909 i.e. 3 largest integer that divides all the numbers equally.
GCD of 798, 789, 909 is 3
GCD(798, 789, 909) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 789, 909 is 3
GCD(798, 789, 909) = 3
Given Input numbers are 798, 789, 909
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 798, 789, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 789, 909 is 3.
Therefore, GCD of numbers 798, 789, 909 is 3
Given Input Data is 798, 789, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 789 is 3 x 263
Prime Factorization of 909 is 3 x 3 x 101
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(798, 789) = 209874
GCD(798, 789) = ( 798 x 789 ) / 209874
GCD(798, 789) = 629622 / 209874
GCD(798, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 909) = 909
GCD(3, 909) = ( 3 x 909 ) / 909
GCD(3, 909) = 2727 / 909
GCD(3, 909) = 3
GCD of 798, 789, 909 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 789, 909?
GCD of 798, 789, 909 is 3
2. Where do I get the detailed procedure to find GCD of 798, 789, 909?
You can find a detailed procedure to find GCD of 798, 789, 909 on our page.
3. How to find GCD of 798, 789, 909 on a calculator?
You can find the GCD of 798, 789, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.