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, 472, 804 i.e. 2 largest integer that divides all the numbers equally.
GCD of 410, 472, 804 is 2
GCD(410, 472, 804) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 410, 472, 804 is 2
GCD(410, 472, 804) = 2
Given Input numbers are 410, 472, 804
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 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 410, 472, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 472, 804 is 2.
Therefore, GCD of numbers 410, 472, 804 is 2
Given Input Data is 410, 472, 804
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 472 is 2 x 2 x 2 x 59
Prime Factorization of 804 is 2 x 2 x 3 x 67
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 472) = 96760
GCD(410, 472) = ( 410 x 472 ) / 96760
GCD(410, 472) = 193520 / 96760
GCD(410, 472) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
GCD(2, 804) = 1608 / 804
GCD(2, 804) = 2
GCD of 410, 472, 804 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 410, 472, 804?
GCD of 410, 472, 804 is 2
2. Where do I get the detailed procedure to find GCD of 410, 472, 804?
You can find a detailed procedure to find GCD of 410, 472, 804 on our page.
3. How to find GCD of 410, 472, 804 on a calculator?
You can find the GCD of 410, 472, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.