GCD of 782, 687, 11, 650 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 782, 687, 11, 650 i.e. 1 largest integer that divides all the numbers equally.

GCD of 782, 687, 11, 650 is 1

GCD(782, 687, 11, 650) = 1

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

GCD of

GCD of numbers 782, 687, 11, 650 is 1

GCD(782, 687, 11, 650) = 1

GCD of 782,687,11,650 Calculator

GCDof 782,687,11,650 is 1

Given Input numbers are 782, 687, 11, 650

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 687

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

1, 3, 229, 687

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 782, 687, 11, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 687, 11, 650 is 1.

Therefore, GCD of numbers 782, 687, 11, 650 is 1

Finding GCD of 782, 687, 11, 650 using Prime Factorization

Given Input Data is 782, 687, 11, 650

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 687 is 3 x 229

Prime Factorization of 11 is 11

Prime Factorization of 650 is 2 x 5 x 5 x 13

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

Finding GCD of 782, 687, 11, 650 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(782, 687) = 537234

GCD(782, 687) = ( 782 x 687 ) / 537234

GCD(782, 687) = 537234 / 537234

GCD(782, 687) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 782, 687, 11, 650 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 782, 687, 11, 650

1. What is the GCD of 782, 687, 11, 650?

GCD of 782, 687, 11, 650 is 1


2. Where do I get the detailed procedure to find GCD of 782, 687, 11, 650?

You can find a detailed procedure to find GCD of 782, 687, 11, 650 on our page.


3. How to find GCD of 782, 687, 11, 650 on a calculator?

You can find the GCD of 782, 687, 11, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.