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 660, 802, 394, 328 i.e. 2 largest integer that divides all the numbers equally.
GCD of 660, 802, 394, 328 is 2
GCD(660, 802, 394, 328) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 802, 394, 328 is 2
GCD(660, 802, 394, 328) = 2
Given Input numbers are 660, 802, 394, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 660, 802, 394, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 802, 394, 328 is 2.
Therefore, GCD of numbers 660, 802, 394, 328 is 2
Given Input Data is 660, 802, 394, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 802 is 2 x 401
Prime Factorization of 394 is 2 x 197
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(660, 802) = 264660
GCD(660, 802) = ( 660 x 802 ) / 264660
GCD(660, 802) = 529320 / 264660
GCD(660, 802) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
GCD(2, 394) = 788 / 394
GCD(2, 394) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 328) = 328
GCD(2, 328) = ( 2 x 328 ) / 328
GCD(2, 328) = 656 / 328
GCD(2, 328) = 2
GCD of 660, 802, 394, 328 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 802, 394, 328?
GCD of 660, 802, 394, 328 is 2
2. Where do I get the detailed procedure to find GCD of 660, 802, 394, 328?
You can find a detailed procedure to find GCD of 660, 802, 394, 328 on our page.
3. How to find GCD of 660, 802, 394, 328 on a calculator?
You can find the GCD of 660, 802, 394, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.