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 330, 480, 611, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 480, 611, 346 is 1
GCD(330, 480, 611, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 480, 611, 346 is 1
GCD(330, 480, 611, 346) = 1
Given Input numbers are 330, 480, 611, 346
To find the GCD of numbers using factoring list out all the divisors of each number
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 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 330, 480, 611, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 480, 611, 346 is 1.
Therefore, GCD of numbers 330, 480, 611, 346 is 1
Given Input Data is 330, 480, 611, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 611 is 13 x 47
Prime Factorization of 346 is 2 x 173
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(330, 480) = 5280
GCD(330, 480) = ( 330 x 480 ) / 5280
GCD(330, 480) = 158400 / 5280
GCD(330, 480) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 611) = 18330
GCD(30, 611) = ( 30 x 611 ) / 18330
GCD(30, 611) = 18330 / 18330
GCD(30, 611) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 330, 480, 611, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 480, 611, 346?
GCD of 330, 480, 611, 346 is 1
2. Where do I get the detailed procedure to find GCD of 330, 480, 611, 346?
You can find a detailed procedure to find GCD of 330, 480, 611, 346 on our page.
3. How to find GCD of 330, 480, 611, 346 on a calculator?
You can find the GCD of 330, 480, 611, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.