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 82, 715, 728, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 715, 728, 804 is 1
GCD(82, 715, 728, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 715, 728, 804 is 1
GCD(82, 715, 728, 804) = 1
Given Input numbers are 82, 715, 728, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
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 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 82, 715, 728, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 715, 728, 804 is 1.
Therefore, GCD of numbers 82, 715, 728, 804 is 1
Given Input Data is 82, 715, 728, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 804 is 2 x 2 x 3 x 67
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(82, 715) = 58630
GCD(82, 715) = ( 82 x 715 ) / 58630
GCD(82, 715) = 58630 / 58630
GCD(82, 715) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 82, 715, 728, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 715, 728, 804?
GCD of 82, 715, 728, 804 is 1
2. Where do I get the detailed procedure to find GCD of 82, 715, 728, 804?
You can find a detailed procedure to find GCD of 82, 715, 728, 804 on our page.
3. How to find GCD of 82, 715, 728, 804 on a calculator?
You can find the GCD of 82, 715, 728, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.