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 728, 362, 384, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 362, 384, 827 is 1
GCD(728, 362, 384, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 362, 384, 827 is 1
GCD(728, 362, 384, 827) = 1
Given Input numbers are 728, 362, 384, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 728, 362, 384, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 362, 384, 827 is 1.
Therefore, GCD of numbers 728, 362, 384, 827 is 1
Given Input Data is 728, 362, 384, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 362 is 2 x 181
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 827 is 827
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(728, 362) = 131768
GCD(728, 362) = ( 728 x 362 ) / 131768
GCD(728, 362) = 263536 / 131768
GCD(728, 362) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
GCD(2, 384) = 768 / 384
GCD(2, 384) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
GCD(2, 827) = 1654 / 1654
GCD(2, 827) = 1
GCD of 728, 362, 384, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 362, 384, 827?
GCD of 728, 362, 384, 827 is 1
2. Where do I get the detailed procedure to find GCD of 728, 362, 384, 827?
You can find a detailed procedure to find GCD of 728, 362, 384, 827 on our page.
3. How to find GCD of 728, 362, 384, 827 on a calculator?
You can find the GCD of 728, 362, 384, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.