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 304, 804, 202 i.e. 2 largest integer that divides all the numbers equally.
GCD of 304, 804, 202 is 2
GCD(304, 804, 202) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 804, 202 is 2
GCD(304, 804, 202) = 2
Given Input numbers are 304, 804, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
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
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 304, 804, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 804, 202 is 2.
Therefore, GCD of numbers 304, 804, 202 is 2
Given Input Data is 304, 804, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 202 is 2 x 101
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(304, 804) = 61104
GCD(304, 804) = ( 304 x 804 ) / 61104
GCD(304, 804) = 244416 / 61104
GCD(304, 804) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 202) = 404
GCD(4, 202) = ( 4 x 202 ) / 404
GCD(4, 202) = 808 / 404
GCD(4, 202) = 2
GCD of 304, 804, 202 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 804, 202?
GCD of 304, 804, 202 is 2
2. Where do I get the detailed procedure to find GCD of 304, 804, 202?
You can find a detailed procedure to find GCD of 304, 804, 202 on our page.
3. How to find GCD of 304, 804, 202 on a calculator?
You can find the GCD of 304, 804, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.