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 306, 856, 382, 848 i.e. 2 largest integer that divides all the numbers equally.
GCD of 306, 856, 382, 848 is 2
GCD(306, 856, 382, 848) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 856, 382, 848 is 2
GCD(306, 856, 382, 848) = 2
Given Input numbers are 306, 856, 382, 848
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 306, 856, 382, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 856, 382, 848 is 2.
Therefore, GCD of numbers 306, 856, 382, 848 is 2
Given Input Data is 306, 856, 382, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 382 is 2 x 191
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(306, 856) = 130968
GCD(306, 856) = ( 306 x 856 ) / 130968
GCD(306, 856) = 261936 / 130968
GCD(306, 856) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
GCD(2, 848) = 1696 / 848
GCD(2, 848) = 2
GCD of 306, 856, 382, 848 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 856, 382, 848?
GCD of 306, 856, 382, 848 is 2
2. Where do I get the detailed procedure to find GCD of 306, 856, 382, 848?
You can find a detailed procedure to find GCD of 306, 856, 382, 848 on our page.
3. How to find GCD of 306, 856, 382, 848 on a calculator?
You can find the GCD of 306, 856, 382, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.