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 729, 790, 578, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 790, 578, 155 is 1
GCD(729, 790, 578, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 790, 578, 155 is 1
GCD(729, 790, 578, 155) = 1
Given Input numbers are 729, 790, 578, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 729, 790, 578, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 790, 578, 155 is 1.
Therefore, GCD of numbers 729, 790, 578, 155 is 1
Given Input Data is 729, 790, 578, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 155 is 5 x 31
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(729, 790) = 575910
GCD(729, 790) = ( 729 x 790 ) / 575910
GCD(729, 790) = 575910 / 575910
GCD(729, 790) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
GCD(1, 578) = 578 / 578
GCD(1, 578) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 729, 790, 578, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 790, 578, 155?
GCD of 729, 790, 578, 155 is 1
2. Where do I get the detailed procedure to find GCD of 729, 790, 578, 155?
You can find a detailed procedure to find GCD of 729, 790, 578, 155 on our page.
3. How to find GCD of 729, 790, 578, 155 on a calculator?
You can find the GCD of 729, 790, 578, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.