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 645, 723, 335, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 723, 335, 189 is 1
GCD(645, 723, 335, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 723, 335, 189 is 1
GCD(645, 723, 335, 189) = 1
Given Input numbers are 645, 723, 335, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 645, 723, 335, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 723, 335, 189 is 1.
Therefore, GCD of numbers 645, 723, 335, 189 is 1
Given Input Data is 645, 723, 335, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 723 is 3 x 241
Prime Factorization of 335 is 5 x 67
Prime Factorization of 189 is 3 x 3 x 3 x 7
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(645, 723) = 155445
GCD(645, 723) = ( 645 x 723 ) / 155445
GCD(645, 723) = 466335 / 155445
GCD(645, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 335) = 1005
GCD(3, 335) = ( 3 x 335 ) / 1005
GCD(3, 335) = 1005 / 1005
GCD(3, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 645, 723, 335, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 723, 335, 189?
GCD of 645, 723, 335, 189 is 1
2. Where do I get the detailed procedure to find GCD of 645, 723, 335, 189?
You can find a detailed procedure to find GCD of 645, 723, 335, 189 on our page.
3. How to find GCD of 645, 723, 335, 189 on a calculator?
You can find the GCD of 645, 723, 335, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.