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, 624, 433, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 624, 433, 401 is 1
GCD(123, 624, 433, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 624, 433, 401 is 1
GCD(123, 624, 433, 401) = 1
Given Input numbers are 123, 624, 433, 401
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 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 123, 624, 433, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 624, 433, 401 is 1.
Therefore, GCD of numbers 123, 624, 433, 401 is 1
Given Input Data is 123, 624, 433, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 433 is 433
Prime Factorization of 401 is 401
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, 624) = 25584
GCD(123, 624) = ( 123 x 624 ) / 25584
GCD(123, 624) = 76752 / 25584
GCD(123, 624) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 433) = 1299
GCD(3, 433) = ( 3 x 433 ) / 1299
GCD(3, 433) = 1299 / 1299
GCD(3, 433) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
GCD of 123, 624, 433, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 624, 433, 401?
GCD of 123, 624, 433, 401 is 1
2. Where do I get the detailed procedure to find GCD of 123, 624, 433, 401?
You can find a detailed procedure to find GCD of 123, 624, 433, 401 on our page.
3. How to find GCD of 123, 624, 433, 401 on a calculator?
You can find the GCD of 123, 624, 433, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.