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 667, 713, 207, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 713, 207, 166 is 1
GCD(667, 713, 207, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 713, 207, 166 is 1
GCD(667, 713, 207, 166) = 1
Given Input numbers are 667, 713, 207, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 667, 713, 207, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 713, 207, 166 is 1.
Therefore, GCD of numbers 667, 713, 207, 166 is 1
Given Input Data is 667, 713, 207, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 713 is 23 x 31
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 166 is 2 x 83
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(667, 713) = 20677
GCD(667, 713) = ( 667 x 713 ) / 20677
GCD(667, 713) = 475571 / 20677
GCD(667, 713) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 207) = 207
GCD(23, 207) = ( 23 x 207 ) / 207
GCD(23, 207) = 4761 / 207
GCD(23, 207) = 23
Step3:
Here we consider the GCD from the above i.e. 23 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 166) = 3818
GCD(23, 166) = ( 23 x 166 ) / 3818
GCD(23, 166) = 3818 / 3818
GCD(23, 166) = 1
GCD of 667, 713, 207, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 713, 207, 166?
GCD of 667, 713, 207, 166 is 1
2. Where do I get the detailed procedure to find GCD of 667, 713, 207, 166?
You can find a detailed procedure to find GCD of 667, 713, 207, 166 on our page.
3. How to find GCD of 667, 713, 207, 166 on a calculator?
You can find the GCD of 667, 713, 207, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.