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, 378, 945, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 378, 945, 401 is 1
GCD(330, 378, 945, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 378, 945, 401 is 1
GCD(330, 378, 945, 401) = 1
Given Input numbers are 330, 378, 945, 401
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 330, 378, 945, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 378, 945, 401 is 1.
Therefore, GCD of numbers 330, 378, 945, 401 is 1
Given Input Data is 330, 378, 945, 401
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 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 401 is 401
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, 378) = 20790
GCD(330, 378) = ( 330 x 378 ) / 20790
GCD(330, 378) = 124740 / 20790
GCD(330, 378) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 945) = 1890
GCD(6, 945) = ( 6 x 945 ) / 1890
GCD(6, 945) = 5670 / 1890
GCD(6, 945) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 401) = 1203
GCD(3, 401) = ( 3 x 401 ) / 1203
GCD(3, 401) = 1203 / 1203
GCD(3, 401) = 1
GCD of 330, 378, 945, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 378, 945, 401?
GCD of 330, 378, 945, 401 is 1
2. Where do I get the detailed procedure to find GCD of 330, 378, 945, 401?
You can find a detailed procedure to find GCD of 330, 378, 945, 401 on our page.
3. How to find GCD of 330, 378, 945, 401 on a calculator?
You can find the GCD of 330, 378, 945, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.