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 308, 924, 12, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 924, 12, 299 is 1
GCD(308, 924, 12, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 924, 12, 299 is 1
GCD(308, 924, 12, 299) = 1
Given Input numbers are 308, 924, 12, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 308, 924, 12, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 924, 12, 299 is 1.
Therefore, GCD of numbers 308, 924, 12, 299 is 1
Given Input Data is 308, 924, 12, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 299 is 13 x 23
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(308, 924) = 924
GCD(308, 924) = ( 308 x 924 ) / 924
GCD(308, 924) = 284592 / 924
GCD(308, 924) = 308
Step2:
Here we consider the GCD from the above i.e. 308 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(308, 12) = 924
GCD(308, 12) = ( 308 x 12 ) / 924
GCD(308, 12) = 3696 / 924
GCD(308, 12) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 299) = 1196
GCD(4, 299) = ( 4 x 299 ) / 1196
GCD(4, 299) = 1196 / 1196
GCD(4, 299) = 1
GCD of 308, 924, 12, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 924, 12, 299?
GCD of 308, 924, 12, 299 is 1
2. Where do I get the detailed procedure to find GCD of 308, 924, 12, 299?
You can find a detailed procedure to find GCD of 308, 924, 12, 299 on our page.
3. How to find GCD of 308, 924, 12, 299 on a calculator?
You can find the GCD of 308, 924, 12, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.