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 792, 780, 309 i.e. 3 largest integer that divides all the numbers equally.
GCD of 792, 780, 309 is 3
GCD(792, 780, 309) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 780, 309 is 3
GCD(792, 780, 309) = 3
Given Input numbers are 792, 780, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 792, 780, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 780, 309 is 3.
Therefore, GCD of numbers 792, 780, 309 is 3
Given Input Data is 792, 780, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 309 is 3 x 103
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(792, 780) = 51480
GCD(792, 780) = ( 792 x 780 ) / 51480
GCD(792, 780) = 617760 / 51480
GCD(792, 780) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 309) = 1236
GCD(12, 309) = ( 12 x 309 ) / 1236
GCD(12, 309) = 3708 / 1236
GCD(12, 309) = 3
GCD of 792, 780, 309 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 780, 309?
GCD of 792, 780, 309 is 3
2. Where do I get the detailed procedure to find GCD of 792, 780, 309?
You can find a detailed procedure to find GCD of 792, 780, 309 on our page.
3. How to find GCD of 792, 780, 309 on a calculator?
You can find the GCD of 792, 780, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.