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 816, 434, 602 i.e. 2 largest integer that divides all the numbers equally.
GCD of 816, 434, 602 is 2
GCD(816, 434, 602) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 434, 602 is 2
GCD(816, 434, 602) = 2
Given Input numbers are 816, 434, 602
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 816, 434, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 434, 602 is 2.
Therefore, GCD of numbers 816, 434, 602 is 2
Given Input Data is 816, 434, 602
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 602 is 2 x 7 x 43
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(816, 434) = 177072
GCD(816, 434) = ( 816 x 434 ) / 177072
GCD(816, 434) = 354144 / 177072
GCD(816, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 602) = 602
GCD(2, 602) = ( 2 x 602 ) / 602
GCD(2, 602) = 1204 / 602
GCD(2, 602) = 2
GCD of 816, 434, 602 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 434, 602?
GCD of 816, 434, 602 is 2
2. Where do I get the detailed procedure to find GCD of 816, 434, 602?
You can find a detailed procedure to find GCD of 816, 434, 602 on our page.
3. How to find GCD of 816, 434, 602 on a calculator?
You can find the GCD of 816, 434, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.