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 12, 950, 336, 924 i.e. 2 largest integer that divides all the numbers equally.
GCD of 12, 950, 336, 924 is 2
GCD(12, 950, 336, 924) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 950, 336, 924 is 2
GCD(12, 950, 336, 924) = 2
Given Input numbers are 12, 950, 336, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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
Greatest Common Divisior
We found the divisors of 12, 950, 336, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 950, 336, 924 is 2.
Therefore, GCD of numbers 12, 950, 336, 924 is 2
Given Input Data is 12, 950, 336, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(12, 950) = 5700
GCD(12, 950) = ( 12 x 950 ) / 5700
GCD(12, 950) = 11400 / 5700
GCD(12, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
GCD(2, 336) = 672 / 336
GCD(2, 336) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
GCD(2, 924) = 1848 / 924
GCD(2, 924) = 2
GCD of 12, 950, 336, 924 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 950, 336, 924?
GCD of 12, 950, 336, 924 is 2
2. Where do I get the detailed procedure to find GCD of 12, 950, 336, 924?
You can find a detailed procedure to find GCD of 12, 950, 336, 924 on our page.
3. How to find GCD of 12, 950, 336, 924 on a calculator?
You can find the GCD of 12, 950, 336, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.