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 350, 208, 894, 333 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 208, 894, 333 is 1
GCD(350, 208, 894, 333) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 208, 894, 333 is 1
GCD(350, 208, 894, 333) = 1
Given Input numbers are 350, 208, 894, 333
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Greatest Common Divisior
We found the divisors of 350, 208, 894, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 208, 894, 333 is 1.
Therefore, GCD of numbers 350, 208, 894, 333 is 1
Given Input Data is 350, 208, 894, 333
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 333 is 3 x 3 x 37
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(350, 208) = 36400
GCD(350, 208) = ( 350 x 208 ) / 36400
GCD(350, 208) = 72800 / 36400
GCD(350, 208) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
GCD(2, 894) = 1788 / 894
GCD(2, 894) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 333) = 666
GCD(2, 333) = ( 2 x 333 ) / 666
GCD(2, 333) = 666 / 666
GCD(2, 333) = 1
GCD of 350, 208, 894, 333 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 208, 894, 333?
GCD of 350, 208, 894, 333 is 1
2. Where do I get the detailed procedure to find GCD of 350, 208, 894, 333?
You can find a detailed procedure to find GCD of 350, 208, 894, 333 on our page.
3. How to find GCD of 350, 208, 894, 333 on a calculator?
You can find the GCD of 350, 208, 894, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.