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 165, 207, 92, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 207, 92, 667 is 1
GCD(165, 207, 92, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 207, 92, 667 is 1
GCD(165, 207, 92, 667) = 1
Given Input numbers are 165, 207, 92, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 165, 207, 92, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 207, 92, 667 is 1.
Therefore, GCD of numbers 165, 207, 92, 667 is 1
Given Input Data is 165, 207, 92, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 667 is 23 x 29
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(165, 207) = 11385
GCD(165, 207) = ( 165 x 207 ) / 11385
GCD(165, 207) = 34155 / 11385
GCD(165, 207) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 92) = 276
GCD(3, 92) = ( 3 x 92 ) / 276
GCD(3, 92) = 276 / 276
GCD(3, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 165, 207, 92, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 207, 92, 667?
GCD of 165, 207, 92, 667 is 1
2. Where do I get the detailed procedure to find GCD of 165, 207, 92, 667?
You can find a detailed procedure to find GCD of 165, 207, 92, 667 on our page.
3. How to find GCD of 165, 207, 92, 667 on a calculator?
You can find the GCD of 165, 207, 92, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.