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 687, 774, 884, 752 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 774, 884, 752 is 1
GCD(687, 774, 884, 752) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 774, 884, 752 is 1
GCD(687, 774, 884, 752) = 1
Given Input numbers are 687, 774, 884, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Greatest Common Divisior
We found the divisors of 687, 774, 884, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 774, 884, 752 is 1.
Therefore, GCD of numbers 687, 774, 884, 752 is 1
Given Input Data is 687, 774, 884, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
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(687, 774) = 177246
GCD(687, 774) = ( 687 x 774 ) / 177246
GCD(687, 774) = 531738 / 177246
GCD(687, 774) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 884) = 2652
GCD(3, 884) = ( 3 x 884 ) / 2652
GCD(3, 884) = 2652 / 2652
GCD(3, 884) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
GCD of 687, 774, 884, 752 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 774, 884, 752?
GCD of 687, 774, 884, 752 is 1
2. Where do I get the detailed procedure to find GCD of 687, 774, 884, 752?
You can find a detailed procedure to find GCD of 687, 774, 884, 752 on our page.
3. How to find GCD of 687, 774, 884, 752 on a calculator?
You can find the GCD of 687, 774, 884, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.