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 14, 452, 916, 228 i.e. 2 largest integer that divides all the numbers equally.
GCD of 14, 452, 916, 228 is 2
GCD(14, 452, 916, 228) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 452, 916, 228 is 2
GCD(14, 452, 916, 228) = 2
Given Input numbers are 14, 452, 916, 228
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Greatest Common Divisior
We found the divisors of 14, 452, 916, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 452, 916, 228 is 2.
Therefore, GCD of numbers 14, 452, 916, 228 is 2
Given Input Data is 14, 452, 916, 228
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 228 is 2 x 2 x 3 x 19
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(14, 452) = 3164
GCD(14, 452) = ( 14 x 452 ) / 3164
GCD(14, 452) = 6328 / 3164
GCD(14, 452) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
GCD(2, 916) = 1832 / 916
GCD(2, 916) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
GCD(2, 228) = 456 / 228
GCD(2, 228) = 2
GCD of 14, 452, 916, 228 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 452, 916, 228?
GCD of 14, 452, 916, 228 is 2
2. Where do I get the detailed procedure to find GCD of 14, 452, 916, 228?
You can find a detailed procedure to find GCD of 14, 452, 916, 228 on our page.
3. How to find GCD of 14, 452, 916, 228 on a calculator?
You can find the GCD of 14, 452, 916, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.