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 352, 864, 729, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 864, 729, 247 is 1
GCD(352, 864, 729, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 864, 729, 247 is 1
GCD(352, 864, 729, 247) = 1
Given Input numbers are 352, 864, 729, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 352, 864, 729, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 864, 729, 247 is 1.
Therefore, GCD of numbers 352, 864, 729, 247 is 1
Given Input Data is 352, 864, 729, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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 247 is 13 x 19
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(352, 864) = 9504
GCD(352, 864) = ( 352 x 864 ) / 9504
GCD(352, 864) = 304128 / 9504
GCD(352, 864) = 32
Step2:
Here we consider the GCD from the above i.e. 32 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(32, 729) = 23328
GCD(32, 729) = ( 32 x 729 ) / 23328
GCD(32, 729) = 23328 / 23328
GCD(32, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 247) = 247
GCD(1, 247) = ( 1 x 247 ) / 247
GCD(1, 247) = 247 / 247
GCD(1, 247) = 1
GCD of 352, 864, 729, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 864, 729, 247?
GCD of 352, 864, 729, 247 is 1
2. Where do I get the detailed procedure to find GCD of 352, 864, 729, 247?
You can find a detailed procedure to find GCD of 352, 864, 729, 247 on our page.
3. How to find GCD of 352, 864, 729, 247 on a calculator?
You can find the GCD of 352, 864, 729, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.