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 400, 401, 622, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 401, 622, 623 is 1
GCD(400, 401, 622, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 401, 622, 623 is 1
GCD(400, 401, 622, 623) = 1
Given Input numbers are 400, 401, 622, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 400, 401, 622, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 401, 622, 623 is 1.
Therefore, GCD of numbers 400, 401, 622, 623 is 1
Given Input Data is 400, 401, 622, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 401 is 401
Prime Factorization of 622 is 2 x 311
Prime Factorization of 623 is 7 x 89
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(400, 401) = 160400
GCD(400, 401) = ( 400 x 401 ) / 160400
GCD(400, 401) = 160400 / 160400
GCD(400, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
GCD(1, 622) = 622 / 622
GCD(1, 622) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 400, 401, 622, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 401, 622, 623?
GCD of 400, 401, 622, 623 is 1
2. Where do I get the detailed procedure to find GCD of 400, 401, 622, 623?
You can find a detailed procedure to find GCD of 400, 401, 622, 623 on our page.
3. How to find GCD of 400, 401, 622, 623 on a calculator?
You can find the GCD of 400, 401, 622, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.