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 636, 338, 73, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 338, 73, 165 is 1
GCD(636, 338, 73, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 338, 73, 165 is 1
GCD(636, 338, 73, 165) = 1
Given Input numbers are 636, 338, 73, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 636, 338, 73, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 338, 73, 165 is 1.
Therefore, GCD of numbers 636, 338, 73, 165 is 1
Given Input Data is 636, 338, 73, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 73 is 73
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(636, 338) = 107484
GCD(636, 338) = ( 636 x 338 ) / 107484
GCD(636, 338) = 214968 / 107484
GCD(636, 338) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 636, 338, 73, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 338, 73, 165?
GCD of 636, 338, 73, 165 is 1
2. Where do I get the detailed procedure to find GCD of 636, 338, 73, 165?
You can find a detailed procedure to find GCD of 636, 338, 73, 165 on our page.
3. How to find GCD of 636, 338, 73, 165 on a calculator?
You can find the GCD of 636, 338, 73, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.