GCD of 687, 774, 884, 752 Calculator

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

GCD of numbers 687, 774, 884, 752 is 1

GCD(687, 774, 884, 752) = 1

GCD of 687,774,884,752 Calculator

GCDof 687,774,884,752 is 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

Finding GCD of 687, 774, 884, 752 using Prime Factorization

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

Finding GCD of 687, 774, 884, 752 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 687, 774, 884, 752

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.