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 394, 426, 66, 422 i.e. 2 largest integer that divides all the numbers equally.
GCD of 394, 426, 66, 422 is 2
GCD(394, 426, 66, 422) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 426, 66, 422 is 2
GCD(394, 426, 66, 422) = 2
Given Input numbers are 394, 426, 66, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 394, 426, 66, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 426, 66, 422 is 2.
Therefore, GCD of numbers 394, 426, 66, 422 is 2
Given Input Data is 394, 426, 66, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 422 is 2 x 211
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(394, 426) = 83922
GCD(394, 426) = ( 394 x 426 ) / 83922
GCD(394, 426) = 167844 / 83922
GCD(394, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
GCD(2, 422) = 844 / 422
GCD(2, 422) = 2
GCD of 394, 426, 66, 422 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 426, 66, 422?
GCD of 394, 426, 66, 422 is 2
2. Where do I get the detailed procedure to find GCD of 394, 426, 66, 422?
You can find a detailed procedure to find GCD of 394, 426, 66, 422 on our page.
3. How to find GCD of 394, 426, 66, 422 on a calculator?
You can find the GCD of 394, 426, 66, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.