GCD of 979, 560, 14, 494 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 979, 560, 14, 494 i.e. 1 largest integer that divides all the numbers equally.

GCD of 979, 560, 14, 494 is 1

GCD(979, 560, 14, 494) = 1

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

GCD of

GCD of numbers 979, 560, 14, 494 is 1

GCD(979, 560, 14, 494) = 1

GCD of 979,560,14,494 Calculator

GCDof 979,560,14,494 is 1

Given Input numbers are 979, 560, 14, 494

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

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 14

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

1, 2, 7, 14

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 979, 560, 14, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 560, 14, 494 is 1.

Therefore, GCD of numbers 979, 560, 14, 494 is 1

Finding GCD of 979, 560, 14, 494 using Prime Factorization

Given Input Data is 979, 560, 14, 494

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 494 is 2 x 13 x 19

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

Finding GCD of 979, 560, 14, 494 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(979, 560) = 548240

GCD(979, 560) = ( 979 x 560 ) / 548240

GCD(979, 560) = 548240 / 548240

GCD(979, 560) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 979, 560, 14, 494 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 979, 560, 14, 494

1. What is the GCD of 979, 560, 14, 494?

GCD of 979, 560, 14, 494 is 1


2. Where do I get the detailed procedure to find GCD of 979, 560, 14, 494?

You can find a detailed procedure to find GCD of 979, 560, 14, 494 on our page.


3. How to find GCD of 979, 560, 14, 494 on a calculator?

You can find the GCD of 979, 560, 14, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.