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 351, 864, 729, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 351, 864, 729, 349 is 1
GCD(351, 864, 729, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 864, 729, 349 is 1
GCD(351, 864, 729, 349) = 1
Given Input numbers are 351, 864, 729, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 351, 864, 729, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 864, 729, 349 is 1.
Therefore, GCD of numbers 351, 864, 729, 349 is 1
Given Input Data is 351, 864, 729, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 349 is 349
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(351, 864) = 11232
GCD(351, 864) = ( 351 x 864 ) / 11232
GCD(351, 864) = 303264 / 11232
GCD(351, 864) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 729) = 729
GCD(27, 729) = ( 27 x 729 ) / 729
GCD(27, 729) = 19683 / 729
GCD(27, 729) = 27
Step3:
Here we consider the GCD from the above i.e. 27 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 349) = 9423
GCD(27, 349) = ( 27 x 349 ) / 9423
GCD(27, 349) = 9423 / 9423
GCD(27, 349) = 1
GCD of 351, 864, 729, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 864, 729, 349?
GCD of 351, 864, 729, 349 is 1
2. Where do I get the detailed procedure to find GCD of 351, 864, 729, 349?
You can find a detailed procedure to find GCD of 351, 864, 729, 349 on our page.
3. How to find GCD of 351, 864, 729, 349 on a calculator?
You can find the GCD of 351, 864, 729, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.