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 905, 390, 401, 602 i.e. 1 largest integer that divides all the numbers equally.
GCD of 905, 390, 401, 602 is 1
GCD(905, 390, 401, 602) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 905, 390, 401, 602 is 1
GCD(905, 390, 401, 602) = 1
Given Input numbers are 905, 390, 401, 602
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 905, 390, 401, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 390, 401, 602 is 1.
Therefore, GCD of numbers 905, 390, 401, 602 is 1
Given Input Data is 905, 390, 401, 602
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 905 is 5 x 181
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 401 is 401
Prime Factorization of 602 is 2 x 7 x 43
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(905, 390) = 70590
GCD(905, 390) = ( 905 x 390 ) / 70590
GCD(905, 390) = 352950 / 70590
GCD(905, 390) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 401) = 2005
GCD(5, 401) = ( 5 x 401 ) / 2005
GCD(5, 401) = 2005 / 2005
GCD(5, 401) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
GCD of 905, 390, 401, 602 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 905, 390, 401, 602?
GCD of 905, 390, 401, 602 is 1
2. Where do I get the detailed procedure to find GCD of 905, 390, 401, 602?
You can find a detailed procedure to find GCD of 905, 390, 401, 602 on our page.
3. How to find GCD of 905, 390, 401, 602 on a calculator?
You can find the GCD of 905, 390, 401, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.