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 18, 248, 234, 212 i.e. 2 largest integer that divides all the numbers equally.
GCD of 18, 248, 234, 212 is 2
GCD(18, 248, 234, 212) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 248, 234, 212 is 2
GCD(18, 248, 234, 212) = 2
Given Input numbers are 18, 248, 234, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 18, 248, 234, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 248, 234, 212 is 2.
Therefore, GCD of numbers 18, 248, 234, 212 is 2
Given Input Data is 18, 248, 234, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 212 is 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(18, 248) = 2232
GCD(18, 248) = ( 18 x 248 ) / 2232
GCD(18, 248) = 4464 / 2232
GCD(18, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
GCD(2, 234) = 468 / 234
GCD(2, 234) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
GCD(2, 212) = 424 / 212
GCD(2, 212) = 2
GCD of 18, 248, 234, 212 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 248, 234, 212?
GCD of 18, 248, 234, 212 is 2
2. Where do I get the detailed procedure to find GCD of 18, 248, 234, 212?
You can find a detailed procedure to find GCD of 18, 248, 234, 212 on our page.
3. How to find GCD of 18, 248, 234, 212 on a calculator?
You can find the GCD of 18, 248, 234, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.