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 71, 326, 428, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 326, 428, 234 is 1
GCD(71, 326, 428, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 326, 428, 234 is 1
GCD(71, 326, 428, 234) = 1
Given Input numbers are 71, 326, 428, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
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
Greatest Common Divisior
We found the divisors of 71, 326, 428, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 326, 428, 234 is 1.
Therefore, GCD of numbers 71, 326, 428, 234 is 1
Given Input Data is 71, 326, 428, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 326 is 2 x 163
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(71, 326) = 23146
GCD(71, 326) = ( 71 x 326 ) / 23146
GCD(71, 326) = 23146 / 23146
GCD(71, 326) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 71, 326, 428, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 326, 428, 234?
GCD of 71, 326, 428, 234 is 1
2. Where do I get the detailed procedure to find GCD of 71, 326, 428, 234?
You can find a detailed procedure to find GCD of 71, 326, 428, 234 on our page.
3. How to find GCD of 71, 326, 428, 234 on a calculator?
You can find the GCD of 71, 326, 428, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.