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 379, 814, 28, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 379, 814, 28, 330 is 1
GCD(379, 814, 28, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 379, 814, 28, 330 is 1
GCD(379, 814, 28, 330) = 1
Given Input numbers are 379, 814, 28, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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
Greatest Common Divisior
We found the divisors of 379, 814, 28, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 814, 28, 330 is 1.
Therefore, GCD of numbers 379, 814, 28, 330 is 1
Given Input Data is 379, 814, 28, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 379 is 379
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 330 is 2 x 3 x 5 x 11
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(379, 814) = 308506
GCD(379, 814) = ( 379 x 814 ) / 308506
GCD(379, 814) = 308506 / 308506
GCD(379, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
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
GCD of 379, 814, 28, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 379, 814, 28, 330?
GCD of 379, 814, 28, 330 is 1
2. Where do I get the detailed procedure to find GCD of 379, 814, 28, 330?
You can find a detailed procedure to find GCD of 379, 814, 28, 330 on our page.
3. How to find GCD of 379, 814, 28, 330 on a calculator?
You can find the GCD of 379, 814, 28, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.