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, 957, 762, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 957, 762, 999 is 1
GCD(728, 957, 762, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 957, 762, 999 is 1
GCD(728, 957, 762, 999) = 1
Given Input numbers are 728, 957, 762, 999
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 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 728, 957, 762, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 957, 762, 999 is 1.
Therefore, GCD of numbers 728, 957, 762, 999 is 1
Given Input Data is 728, 957, 762, 999
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 957 is 3 x 11 x 29
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 999 is 3 x 3 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(728, 957) = 696696
GCD(728, 957) = ( 728 x 957 ) / 696696
GCD(728, 957) = 696696 / 696696
GCD(728, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
GCD of 728, 957, 762, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 957, 762, 999?
GCD of 728, 957, 762, 999 is 1
2. Where do I get the detailed procedure to find GCD of 728, 957, 762, 999?
You can find a detailed procedure to find GCD of 728, 957, 762, 999 on our page.
3. How to find GCD of 728, 957, 762, 999 on a calculator?
You can find the GCD of 728, 957, 762, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.