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 990, 968, 67, 333 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 968, 67, 333 is 1
GCD(990, 968, 67, 333) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 968, 67, 333 is 1
GCD(990, 968, 67, 333) = 1
Given Input numbers are 990, 968, 67, 333
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 990, 968, 67, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 968, 67, 333 is 1.
Therefore, GCD of numbers 990, 968, 67, 333 is 1
Given Input Data is 990, 968, 67, 333
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 67 is 67
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(990, 968) = 43560
GCD(990, 968) = ( 990 x 968 ) / 43560
GCD(990, 968) = 958320 / 43560
GCD(990, 968) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 67) = 1474
GCD(22, 67) = ( 22 x 67 ) / 1474
GCD(22, 67) = 1474 / 1474
GCD(22, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 333) = 333
GCD(1, 333) = ( 1 x 333 ) / 333
GCD(1, 333) = 333 / 333
GCD(1, 333) = 1
GCD of 990, 968, 67, 333 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 968, 67, 333?
GCD of 990, 968, 67, 333 is 1
2. Where do I get the detailed procedure to find GCD of 990, 968, 67, 333?
You can find a detailed procedure to find GCD of 990, 968, 67, 333 on our page.
3. How to find GCD of 990, 968, 67, 333 on a calculator?
You can find the GCD of 990, 968, 67, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.