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 143, 405, 812, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 405, 812, 845 is 1
GCD(143, 405, 812, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 405, 812, 845 is 1
GCD(143, 405, 812, 845) = 1
Given Input numbers are 143, 405, 812, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 143, 405, 812, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 405, 812, 845 is 1.
Therefore, GCD of numbers 143, 405, 812, 845 is 1
Given Input Data is 143, 405, 812, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 845 is 5 x 13 x 13
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(143, 405) = 57915
GCD(143, 405) = ( 143 x 405 ) / 57915
GCD(143, 405) = 57915 / 57915
GCD(143, 405) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 143, 405, 812, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 405, 812, 845?
GCD of 143, 405, 812, 845 is 1
2. Where do I get the detailed procedure to find GCD of 143, 405, 812, 845?
You can find a detailed procedure to find GCD of 143, 405, 812, 845 on our page.
3. How to find GCD of 143, 405, 812, 845 on a calculator?
You can find the GCD of 143, 405, 812, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.