GCD of 979, 278, 13 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, 278, 13 i.e. 1 largest integer that divides all the numbers equally.

GCD of 979, 278, 13 is 1

GCD(979, 278, 13) = 1

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

GCD of

GCD of numbers 979, 278, 13 is 1

GCD(979, 278, 13) = 1

GCD of 979,278,13 Calculator

GCDof 979,278,13 is 1

Given Input numbers are 979, 278, 13

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 979, 278, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 278, 13 is 1.

Therefore, GCD of numbers 979, 278, 13 is 1

Finding GCD of 979, 278, 13 using Prime Factorization

Given Input Data is 979, 278, 13

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 278 is 2 x 139

Prime Factorization of 13 is 13

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

Finding GCD of 979, 278, 13 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, 278) = 272162

GCD(979, 278) = ( 979 x 278 ) / 272162

GCD(979, 278) = 272162 / 272162

GCD(979, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 979, 278, 13 is 1

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FAQs on GCD of numbers 979, 278, 13

1. What is the GCD of 979, 278, 13?

GCD of 979, 278, 13 is 1

2. Where do I get the detailed procedure to find GCD of 979, 278, 13?

You can find a detailed procedure to find GCD of 979, 278, 13 on our page.

3. How to find GCD of 979, 278, 13 on a calculator?

You can find the GCD of 979, 278, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.