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 668, 894, 47, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 894, 47, 164 is 1
GCD(668, 894, 47, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 894, 47, 164 is 1
GCD(668, 894, 47, 164) = 1
Given Input numbers are 668, 894, 47, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
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 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 668, 894, 47, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 894, 47, 164 is 1.
Therefore, GCD of numbers 668, 894, 47, 164 is 1
Given Input Data is 668, 894, 47, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 47 is 47
Prime Factorization of 164 is 2 x 2 x 41
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(668, 894) = 298596
GCD(668, 894) = ( 668 x 894 ) / 298596
GCD(668, 894) = 597192 / 298596
GCD(668, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 668, 894, 47, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 894, 47, 164?
GCD of 668, 894, 47, 164 is 1
2. Where do I get the detailed procedure to find GCD of 668, 894, 47, 164?
You can find a detailed procedure to find GCD of 668, 894, 47, 164 on our page.
3. How to find GCD of 668, 894, 47, 164 on a calculator?
You can find the GCD of 668, 894, 47, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.