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 845, 729, 291, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 729, 291, 576 is 1
GCD(845, 729, 291, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 729, 291, 576 is 1
GCD(845, 729, 291, 576) = 1
Given Input numbers are 845, 729, 291, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
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 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Greatest Common Divisior
We found the divisors of 845, 729, 291, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 729, 291, 576 is 1.
Therefore, GCD of numbers 845, 729, 291, 576 is 1
Given Input Data is 845, 729, 291, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 291 is 3 x 97
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 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(845, 729) = 616005
GCD(845, 729) = ( 845 x 729 ) / 616005
GCD(845, 729) = 616005 / 616005
GCD(845, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
GCD of 845, 729, 291, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 729, 291, 576?
GCD of 845, 729, 291, 576 is 1
2. Where do I get the detailed procedure to find GCD of 845, 729, 291, 576?
You can find a detailed procedure to find GCD of 845, 729, 291, 576 on our page.
3. How to find GCD of 845, 729, 291, 576 on a calculator?
You can find the GCD of 845, 729, 291, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.