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 422, 510, 12, 408 i.e. 2 largest integer that divides all the numbers equally.
GCD of 422, 510, 12, 408 is 2
GCD(422, 510, 12, 408) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 510, 12, 408 is 2
GCD(422, 510, 12, 408) = 2
Given Input numbers are 422, 510, 12, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 422, 510, 12, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 510, 12, 408 is 2.
Therefore, GCD of numbers 422, 510, 12, 408 is 2
Given Input Data is 422, 510, 12, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(422, 510) = 107610
GCD(422, 510) = ( 422 x 510 ) / 107610
GCD(422, 510) = 215220 / 107610
GCD(422, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
GCD(2, 408) = 816 / 408
GCD(2, 408) = 2
GCD of 422, 510, 12, 408 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 510, 12, 408?
GCD of 422, 510, 12, 408 is 2
2. Where do I get the detailed procedure to find GCD of 422, 510, 12, 408?
You can find a detailed procedure to find GCD of 422, 510, 12, 408 on our page.
3. How to find GCD of 422, 510, 12, 408 on a calculator?
You can find the GCD of 422, 510, 12, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.