GCD of 663, 408, 904 Calculator
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 663, 408, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 408, 904 is 1
GCD(663, 408, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 408, 904 is 1
GCD(663, 408, 904) = 1
GCDof 663,408,904 is 1
Given Input numbers are 663, 408, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 663, 408, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 408, 904 is 1.
Therefore, GCD of numbers 663, 408, 904 is 1
Given Input Data is 663, 408, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 904 is 2 x 2 x 2 x 113
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 663, 408, 904 using LCM Formula
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(663, 408) = 5304
GCD(663, 408) = ( 663 x 408 ) / 5304
GCD(663, 408) = 270504 / 5304
GCD(663, 408) = 51
Step2:
Here we consider the GCD from the above i.e. 51 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(51, 904) = 46104
GCD(51, 904) = ( 51 x 904 ) / 46104
GCD(51, 904) = 46104 / 46104
GCD(51, 904) = 1
GCD of 663, 408, 904 is 1
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FAQs on GCD of numbers 663, 408, 904
1. What is the GCD of 663, 408, 904?
GCD of 663, 408, 904 is 1
2. Where do I get the detailed procedure to find GCD of 663, 408, 904?
You can find a detailed procedure to find GCD of 663, 408, 904 on our page.
3. How to find GCD of 663, 408, 904 on a calculator?
You can find the GCD of 663, 408, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.