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 172, 404, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 404, 165 is 1
GCD(172, 404, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 404, 165 is 1
GCD(172, 404, 165) = 1
Given Input numbers are 172, 404, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 172, 404, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 404, 165 is 1.
Therefore, GCD of numbers 172, 404, 165 is 1
Given Input Data is 172, 404, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 165 is 3 x 5 x 11
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(172, 404) = 17372
GCD(172, 404) = ( 172 x 404 ) / 17372
GCD(172, 404) = 69488 / 17372
GCD(172, 404) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 165) = 660
GCD(4, 165) = ( 4 x 165 ) / 660
GCD(4, 165) = 660 / 660
GCD(4, 165) = 1
GCD of 172, 404, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 404, 165?
GCD of 172, 404, 165 is 1
2. Where do I get the detailed procedure to find GCD of 172, 404, 165?
You can find a detailed procedure to find GCD of 172, 404, 165 on our page.
3. How to find GCD of 172, 404, 165 on a calculator?
You can find the GCD of 172, 404, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.