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 30, 842, 245, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 842, 245, 729 is 1
GCD(30, 842, 245, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 842, 245, 729 is 1
GCD(30, 842, 245, 729) = 1
Given Input numbers are 30, 842, 245, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 30, 842, 245, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 842, 245, 729 is 1.
Therefore, GCD of numbers 30, 842, 245, 729 is 1
Given Input Data is 30, 842, 245, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 842 is 2 x 421
Prime Factorization of 245 is 5 x 7 x 7
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(30, 842) = 12630
GCD(30, 842) = ( 30 x 842 ) / 12630
GCD(30, 842) = 25260 / 12630
GCD(30, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 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 30, 842, 245, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 842, 245, 729?
GCD of 30, 842, 245, 729 is 1
2. Where do I get the detailed procedure to find GCD of 30, 842, 245, 729?
You can find a detailed procedure to find GCD of 30, 842, 245, 729 on our page.
3. How to find GCD of 30, 842, 245, 729 on a calculator?
You can find the GCD of 30, 842, 245, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.