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 321, 796, 330, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 796, 330, 298 is 1
GCD(321, 796, 330, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 796, 330, 298 is 1
GCD(321, 796, 330, 298) = 1
Given Input numbers are 321, 796, 330, 298
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 321, 796, 330, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 796, 330, 298 is 1.
Therefore, GCD of numbers 321, 796, 330, 298 is 1
Given Input Data is 321, 796, 330, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 298 is 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
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(321, 796) = 255516
GCD(321, 796) = ( 321 x 796 ) / 255516
GCD(321, 796) = 255516 / 255516
GCD(321, 796) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 321, 796, 330, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 796, 330, 298?
GCD of 321, 796, 330, 298 is 1
2. Where do I get the detailed procedure to find GCD of 321, 796, 330, 298?
You can find a detailed procedure to find GCD of 321, 796, 330, 298 on our page.
3. How to find GCD of 321, 796, 330, 298 on a calculator?
You can find the GCD of 321, 796, 330, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.