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 378, 333, 103, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 333, 103, 921 is 1
GCD(378, 333, 103, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 333, 103, 921 is 1
GCD(378, 333, 103, 921) = 1
Given Input numbers are 378, 333, 103, 921
To find the GCD of numbers using factoring list out all the divisors of each number
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 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 378, 333, 103, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 333, 103, 921 is 1.
Therefore, GCD of numbers 378, 333, 103, 921 is 1
Given Input Data is 378, 333, 103, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 103 is 103
Prime Factorization of 921 is 3 x 307
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(378, 333) = 13986
GCD(378, 333) = ( 378 x 333 ) / 13986
GCD(378, 333) = 125874 / 13986
GCD(378, 333) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 103) = 927
GCD(9, 103) = ( 9 x 103 ) / 927
GCD(9, 103) = 927 / 927
GCD(9, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 378, 333, 103, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 333, 103, 921?
GCD of 378, 333, 103, 921 is 1
2. Where do I get the detailed procedure to find GCD of 378, 333, 103, 921?
You can find a detailed procedure to find GCD of 378, 333, 103, 921 on our page.
3. How to find GCD of 378, 333, 103, 921 on a calculator?
You can find the GCD of 378, 333, 103, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.