GCD of 700, 687, 327, 756 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 700, 687, 327, 756 i.e. 1 largest integer that divides all the numbers equally.

GCD of 700, 687, 327, 756 is 1

GCD(700, 687, 327, 756) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 700, 687, 327, 756 is 1

GCD(700, 687, 327, 756) = 1

GCD of 700,687,327,756 Calculator

GCDof 700,687,327,756 is 1

Given Input numbers are 700, 687, 327, 756

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 700, 687, 327, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 687, 327, 756 is 1.

Therefore, GCD of numbers 700, 687, 327, 756 is 1

Finding GCD of 700, 687, 327, 756 using Prime Factorization

Given Input Data is 700, 687, 327, 756

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 687 is 3 x 229

Prime Factorization of 327 is 3 x 109

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 700, 687, 327, 756 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(700, 687) = 480900

GCD(700, 687) = ( 700 x 687 ) / 480900

GCD(700, 687) = 480900 / 480900

GCD(700, 687) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 700, 687, 327, 756 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 700, 687, 327, 756

1. What is the GCD of 700, 687, 327, 756?

GCD of 700, 687, 327, 756 is 1


2. Where do I get the detailed procedure to find GCD of 700, 687, 327, 756?

You can find a detailed procedure to find GCD of 700, 687, 327, 756 on our page.


3. How to find GCD of 700, 687, 327, 756 on a calculator?

You can find the GCD of 700, 687, 327, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.