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 388, 791, 74, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 791, 74, 306 is 1
GCD(388, 791, 74, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 791, 74, 306 is 1
GCD(388, 791, 74, 306) = 1
Given Input numbers are 388, 791, 74, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 388, 791, 74, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 791, 74, 306 is 1.
Therefore, GCD of numbers 388, 791, 74, 306 is 1
Given Input Data is 388, 791, 74, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 791 is 7 x 113
Prime Factorization of 74 is 2 x 37
Prime Factorization of 306 is 2 x 3 x 3 x 17
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(388, 791) = 306908
GCD(388, 791) = ( 388 x 791 ) / 306908
GCD(388, 791) = 306908 / 306908
GCD(388, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 388, 791, 74, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 791, 74, 306?
GCD of 388, 791, 74, 306 is 1
2. Where do I get the detailed procedure to find GCD of 388, 791, 74, 306?
You can find a detailed procedure to find GCD of 388, 791, 74, 306 on our page.
3. How to find GCD of 388, 791, 74, 306 on a calculator?
You can find the GCD of 388, 791, 74, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.