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 291, 716, 729, 444 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 716, 729, 444 is 1
GCD(291, 716, 729, 444) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 716, 729, 444 is 1
GCD(291, 716, 729, 444) = 1
Given Input numbers are 291, 716, 729, 444
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
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 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Greatest Common Divisior
We found the divisors of 291, 716, 729, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 716, 729, 444 is 1.
Therefore, GCD of numbers 291, 716, 729, 444 is 1
Given Input Data is 291, 716, 729, 444
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 444 is 2 x 2 x 3 x 37
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(291, 716) = 208356
GCD(291, 716) = ( 291 x 716 ) / 208356
GCD(291, 716) = 208356 / 208356
GCD(291, 716) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
GCD(1, 444) = 444 / 444
GCD(1, 444) = 1
GCD of 291, 716, 729, 444 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 716, 729, 444?
GCD of 291, 716, 729, 444 is 1
2. Where do I get the detailed procedure to find GCD of 291, 716, 729, 444?
You can find a detailed procedure to find GCD of 291, 716, 729, 444 on our page.
3. How to find GCD of 291, 716, 729, 444 on a calculator?
You can find the GCD of 291, 716, 729, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.