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, 50, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 333, 50, 670 is 1
GCD(378, 333, 50, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 333, 50, 670 is 1
GCD(378, 333, 50, 670) = 1
Given Input numbers are 378, 333, 50, 670
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 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 378, 333, 50, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 333, 50, 670 is 1.
Therefore, GCD of numbers 378, 333, 50, 670 is 1
Given Input Data is 378, 333, 50, 670
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 50 is 2 x 5 x 5
Prime Factorization of 670 is 2 x 5 x 67
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 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 50) = 450
GCD(9, 50) = ( 9 x 50 ) / 450
GCD(9, 50) = 450 / 450
GCD(9, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 378, 333, 50, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 333, 50, 670?
GCD of 378, 333, 50, 670 is 1
2. Where do I get the detailed procedure to find GCD of 378, 333, 50, 670?
You can find a detailed procedure to find GCD of 378, 333, 50, 670 on our page.
3. How to find GCD of 378, 333, 50, 670 on a calculator?
You can find the GCD of 378, 333, 50, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.