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 410, 365, 789, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 410, 365, 789, 336 is 1
GCD(410, 365, 789, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 410, 365, 789, 336 is 1
GCD(410, 365, 789, 336) = 1
Given Input numbers are 410, 365, 789, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 410, 365, 789, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 365, 789, 336 is 1.
Therefore, GCD of numbers 410, 365, 789, 336 is 1
Given Input Data is 410, 365, 789, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 365 is 5 x 73
Prime Factorization of 789 is 3 x 263
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(410, 365) = 29930
GCD(410, 365) = ( 410 x 365 ) / 29930
GCD(410, 365) = 149650 / 29930
GCD(410, 365) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 789) = 3945
GCD(5, 789) = ( 5 x 789 ) / 3945
GCD(5, 789) = 3945 / 3945
GCD(5, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 410, 365, 789, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 410, 365, 789, 336?
GCD of 410, 365, 789, 336 is 1
2. Where do I get the detailed procedure to find GCD of 410, 365, 789, 336?
You can find a detailed procedure to find GCD of 410, 365, 789, 336 on our page.
3. How to find GCD of 410, 365, 789, 336 on a calculator?
You can find the GCD of 410, 365, 789, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.