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 818, 612, 34, 730 i.e. 2 largest integer that divides all the numbers equally.
GCD of 818, 612, 34, 730 is 2
GCD(818, 612, 34, 730) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 818, 612, 34, 730 is 2
GCD(818, 612, 34, 730) = 2
Given Input numbers are 818, 612, 34, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
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 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 818, 612, 34, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 612, 34, 730 is 2.
Therefore, GCD of numbers 818, 612, 34, 730 is 2
Given Input Data is 818, 612, 34, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 818 is 2 x 409
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 34 is 2 x 17
Prime Factorization of 730 is 2 x 5 x 73
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(818, 612) = 250308
GCD(818, 612) = ( 818 x 612 ) / 250308
GCD(818, 612) = 500616 / 250308
GCD(818, 612) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
GCD(2, 730) = 1460 / 730
GCD(2, 730) = 2
GCD of 818, 612, 34, 730 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 818, 612, 34, 730?
GCD of 818, 612, 34, 730 is 2
2. Where do I get the detailed procedure to find GCD of 818, 612, 34, 730?
You can find a detailed procedure to find GCD of 818, 612, 34, 730 on our page.
3. How to find GCD of 818, 612, 34, 730 on a calculator?
You can find the GCD of 818, 612, 34, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.