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 68, 668, 199, 233 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 668, 199, 233 is 1
GCD(68, 668, 199, 233) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 668, 199, 233 is 1
GCD(68, 668, 199, 233) = 1
Given Input numbers are 68, 668, 199, 233
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Greatest Common Divisior
We found the divisors of 68, 668, 199, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 668, 199, 233 is 1.
Therefore, GCD of numbers 68, 668, 199, 233 is 1
Given Input Data is 68, 668, 199, 233
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 199 is 199
Prime Factorization of 233 is 233
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(68, 668) = 11356
GCD(68, 668) = ( 68 x 668 ) / 11356
GCD(68, 668) = 45424 / 11356
GCD(68, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 199) = 796
GCD(4, 199) = ( 4 x 199 ) / 796
GCD(4, 199) = 796 / 796
GCD(4, 199) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 233
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 233) = 233
GCD(1, 233) = ( 1 x 233 ) / 233
GCD(1, 233) = 233 / 233
GCD(1, 233) = 1
GCD of 68, 668, 199, 233 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 668, 199, 233?
GCD of 68, 668, 199, 233 is 1
2. Where do I get the detailed procedure to find GCD of 68, 668, 199, 233?
You can find a detailed procedure to find GCD of 68, 668, 199, 233 on our page.
3. How to find GCD of 68, 668, 199, 233 on a calculator?
You can find the GCD of 68, 668, 199, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.