GCD of 976, 587, 14 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 976, 587, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 976, 587, 14 is 1

GCD(976, 587, 14) = 1

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

GCD of

GCD of numbers 976, 587, 14 is 1

GCD(976, 587, 14) = 1

GCD of 976,587,14 Calculator

GCDof 976,587,14 is 1

Given Input numbers are 976, 587, 14

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 976, 587, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 587, 14 is 1.

Therefore, GCD of numbers 976, 587, 14 is 1

Finding GCD of 976, 587, 14 using Prime Factorization

Given Input Data is 976, 587, 14

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 587 is 587

Prime Factorization of 14 is 2 x 7

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

Finding GCD of 976, 587, 14 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(976, 587) = 572912

GCD(976, 587) = ( 976 x 587 ) / 572912

GCD(976, 587) = 572912 / 572912

GCD(976, 587) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 976, 587, 14 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 976, 587, 14

1. What is the GCD of 976, 587, 14?

GCD of 976, 587, 14 is 1


2. Where do I get the detailed procedure to find GCD of 976, 587, 14?

You can find a detailed procedure to find GCD of 976, 587, 14 on our page.


3. How to find GCD of 976, 587, 14 on a calculator?

You can find the GCD of 976, 587, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.