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 129, 173, 52, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 173, 52, 645 is 1
GCD(129, 173, 52, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 173, 52, 645 is 1
GCD(129, 173, 52, 645) = 1
Given Input numbers are 129, 173, 52, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 129, 173, 52, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 173, 52, 645 is 1.
Therefore, GCD of numbers 129, 173, 52, 645 is 1
Given Input Data is 129, 173, 52, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 173 is 173
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 645 is 3 x 5 x 43
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(129, 173) = 22317
GCD(129, 173) = ( 129 x 173 ) / 22317
GCD(129, 173) = 22317 / 22317
GCD(129, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 129, 173, 52, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 173, 52, 645?
GCD of 129, 173, 52, 645 is 1
2. Where do I get the detailed procedure to find GCD of 129, 173, 52, 645?
You can find a detailed procedure to find GCD of 129, 173, 52, 645 on our page.
3. How to find GCD of 129, 173, 52, 645 on a calculator?
You can find the GCD of 129, 173, 52, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.