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, 228, 71, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 228, 71, 412 is 1
GCD(422, 228, 71, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 228, 71, 412 is 1
GCD(422, 228, 71, 412) = 1
Given Input numbers are 422, 228, 71, 412
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 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
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 422, 228, 71, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 228, 71, 412 is 1.
Therefore, GCD of numbers 422, 228, 71, 412 is 1
Given Input Data is 422, 228, 71, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 71 is 71
Prime Factorization of 412 is 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
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, 228) = 48108
GCD(422, 228) = ( 422 x 228 ) / 48108
GCD(422, 228) = 96216 / 48108
GCD(422, 228) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 422, 228, 71, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 228, 71, 412?
GCD of 422, 228, 71, 412 is 1
2. Where do I get the detailed procedure to find GCD of 422, 228, 71, 412?
You can find a detailed procedure to find GCD of 422, 228, 71, 412 on our page.
3. How to find GCD of 422, 228, 71, 412 on a calculator?
You can find the GCD of 422, 228, 71, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.