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 81, 957, 132, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 957, 132, 728 is 1
GCD(81, 957, 132, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 957, 132, 728 is 1
GCD(81, 957, 132, 728) = 1
Given Input numbers are 81, 957, 132, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
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
Greatest Common Divisior
We found the divisors of 81, 957, 132, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 957, 132, 728 is 1.
Therefore, GCD of numbers 81, 957, 132, 728 is 1
Given Input Data is 81, 957, 132, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(81, 957) = 25839
GCD(81, 957) = ( 81 x 957 ) / 25839
GCD(81, 957) = 77517 / 25839
GCD(81, 957) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
GCD(3, 132) = 396 / 132
GCD(3, 132) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 728) = 2184
GCD(3, 728) = ( 3 x 728 ) / 2184
GCD(3, 728) = 2184 / 2184
GCD(3, 728) = 1
GCD of 81, 957, 132, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 957, 132, 728?
GCD of 81, 957, 132, 728 is 1
2. Where do I get the detailed procedure to find GCD of 81, 957, 132, 728?
You can find a detailed procedure to find GCD of 81, 957, 132, 728 on our page.
3. How to find GCD of 81, 957, 132, 728 on a calculator?
You can find the GCD of 81, 957, 132, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.