GCD of 987, 730, 783 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 987, 730, 783 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 730, 783 is 1

GCD(987, 730, 783) = 1

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

GCD of

GCD of numbers 987, 730, 783 is 1

GCD(987, 730, 783) = 1

GCD of 987,730,783 Calculator

GCDof 987,730,783 is 1

Given Input numbers are 987, 730, 783

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 987, 730, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 730, 783 is 1.

Therefore, GCD of numbers 987, 730, 783 is 1

Finding GCD of 987, 730, 783 using Prime Factorization

Given Input Data is 987, 730, 783

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 783 is 3 x 3 x 3 x 29

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

Finding GCD of 987, 730, 783 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(987, 730) = 720510

GCD(987, 730) = ( 987 x 730 ) / 720510

GCD(987, 730) = 720510 / 720510

GCD(987, 730) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 987, 730, 783 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 730, 783

1. What is the GCD of 987, 730, 783?

GCD of 987, 730, 783 is 1


2. Where do I get the detailed procedure to find GCD of 987, 730, 783?

You can find a detailed procedure to find GCD of 987, 730, 783 on our page.


3. How to find GCD of 987, 730, 783 on a calculator?

You can find the GCD of 987, 730, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.