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 123, 428, 451, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 428, 451, 406 is 1
GCD(123, 428, 451, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 428, 451, 406 is 1
GCD(123, 428, 451, 406) = 1
Given Input numbers are 123, 428, 451, 406
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 123, 428, 451, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 428, 451, 406 is 1.
Therefore, GCD of numbers 123, 428, 451, 406 is 1
Given Input Data is 123, 428, 451, 406
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 451 is 11 x 41
Prime Factorization of 406 is 2 x 7 x 29
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(123, 428) = 52644
GCD(123, 428) = ( 123 x 428 ) / 52644
GCD(123, 428) = 52644 / 52644
GCD(123, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 123, 428, 451, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 428, 451, 406?
GCD of 123, 428, 451, 406 is 1
2. Where do I get the detailed procedure to find GCD of 123, 428, 451, 406?
You can find a detailed procedure to find GCD of 123, 428, 451, 406 on our page.
3. How to find GCD of 123, 428, 451, 406 on a calculator?
You can find the GCD of 123, 428, 451, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.