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 787, 367, 81, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 367, 81, 309 is 1
GCD(787, 367, 81, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 367, 81, 309 is 1
GCD(787, 367, 81, 309) = 1
Given Input numbers are 787, 367, 81, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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 787, 367, 81, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 367, 81, 309 is 1.
Therefore, GCD of numbers 787, 367, 81, 309 is 1
Given Input Data is 787, 367, 81, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 367 is 367
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 309 is 3 x 103
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(787, 367) = 288829
GCD(787, 367) = ( 787 x 367 ) / 288829
GCD(787, 367) = 288829 / 288829
GCD(787, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 787, 367, 81, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 367, 81, 309?
GCD of 787, 367, 81, 309 is 1
2. Where do I get the detailed procedure to find GCD of 787, 367, 81, 309?
You can find a detailed procedure to find GCD of 787, 367, 81, 309 on our page.
3. How to find GCD of 787, 367, 81, 309 on a calculator?
You can find the GCD of 787, 367, 81, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.