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, 998, 40, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 998, 40, 729 is 1
GCD(143, 998, 40, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 998, 40, 729 is 1
GCD(143, 998, 40, 729) = 1
Given Input numbers are 143, 998, 40, 729
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 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 143, 998, 40, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 998, 40, 729 is 1.
Therefore, GCD of numbers 143, 998, 40, 729 is 1
Given Input Data is 143, 998, 40, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 998 is 2 x 499
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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, 998) = 142714
GCD(143, 998) = ( 143 x 998 ) / 142714
GCD(143, 998) = 142714 / 142714
GCD(143, 998) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 143, 998, 40, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 998, 40, 729?
GCD of 143, 998, 40, 729 is 1
2. Where do I get the detailed procedure to find GCD of 143, 998, 40, 729?
You can find a detailed procedure to find GCD of 143, 998, 40, 729 on our page.
3. How to find GCD of 143, 998, 40, 729 on a calculator?
You can find the GCD of 143, 998, 40, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.