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 185, 693, 810, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 185, 693, 810, 728 is 1
GCD(185, 693, 810, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 185, 693, 810, 728 is 1
GCD(185, 693, 810, 728) = 1
Given Input numbers are 185, 693, 810, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
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 185, 693, 810, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 693, 810, 728 is 1.
Therefore, GCD of numbers 185, 693, 810, 728 is 1
Given Input Data is 185, 693, 810, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 185 is 5 x 37
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(185, 693) = 128205
GCD(185, 693) = ( 185 x 693 ) / 128205
GCD(185, 693) = 128205 / 128205
GCD(185, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
Step3:
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
GCD of 185, 693, 810, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 185, 693, 810, 728?
GCD of 185, 693, 810, 728 is 1
2. Where do I get the detailed procedure to find GCD of 185, 693, 810, 728?
You can find a detailed procedure to find GCD of 185, 693, 810, 728 on our page.
3. How to find GCD of 185, 693, 810, 728 on a calculator?
You can find the GCD of 185, 693, 810, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.