GCD of 612, 204, 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 612, 204, 904 i.e. 4 largest integer that divides all the numbers equally.
GCD of 612, 204, 904 is 4
GCD(612, 204, 904) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 204, 904 is 4
GCD(612, 204, 904) = 4
GCDof 612,204,904 is 4
Given Input numbers are 612, 204, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 612, 204, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 204, 904 is 4.
Therefore, GCD of numbers 612, 204, 904 is 4
Given Input Data is 612, 204, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 904 is 2 x 2 x 2 x 113
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 612, 204, 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(612, 204) = 612
GCD(612, 204) = ( 612 x 204 ) / 612
GCD(612, 204) = 124848 / 612
GCD(612, 204) = 204
Step2:
Here we consider the GCD from the above i.e. 204 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(204, 904) = 46104
GCD(204, 904) = ( 204 x 904 ) / 46104
GCD(204, 904) = 184416 / 46104
GCD(204, 904) = 4
GCD of 612, 204, 904 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 612, 204, 904
1. What is the GCD of 612, 204, 904?
GCD of 612, 204, 904 is 4
2. Where do I get the detailed procedure to find GCD of 612, 204, 904?
You can find a detailed procedure to find GCD of 612, 204, 904 on our page.
3. How to find GCD of 612, 204, 904 on a calculator?
You can find the GCD of 612, 204, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
