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 788, 959, 89, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 959, 89, 729 is 1
GCD(788, 959, 89, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 959, 89, 729 is 1
GCD(788, 959, 89, 729) = 1
Given Input numbers are 788, 959, 89, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
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 788, 959, 89, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 959, 89, 729 is 1.
Therefore, GCD of numbers 788, 959, 89, 729 is 1
Given Input Data is 788, 959, 89, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 959 is 7 x 137
Prime Factorization of 89 is 89
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(788, 959) = 755692
GCD(788, 959) = ( 788 x 959 ) / 755692
GCD(788, 959) = 755692 / 755692
GCD(788, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 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 788, 959, 89, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 959, 89, 729?
GCD of 788, 959, 89, 729 is 1
2. Where do I get the detailed procedure to find GCD of 788, 959, 89, 729?
You can find a detailed procedure to find GCD of 788, 959, 89, 729 on our page.
3. How to find GCD of 788, 959, 89, 729 on a calculator?
You can find the GCD of 788, 959, 89, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.