GCD of 987, 449, 39 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, 449, 39 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 449, 39 is 1

GCD(987, 449, 39) = 1

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

GCD of

GCD of numbers 987, 449, 39 is 1

GCD(987, 449, 39) = 1

GCD of 987,449,39 Calculator

GCDof 987,449,39 is 1

Given Input numbers are 987, 449, 39

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 987, 449, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 449, 39 is 1.

Therefore, GCD of numbers 987, 449, 39 is 1

Finding GCD of 987, 449, 39 using Prime Factorization

Given Input Data is 987, 449, 39

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 449 is 449

Prime Factorization of 39 is 3 x 13

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

Finding GCD of 987, 449, 39 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, 449) = 443163

GCD(987, 449) = ( 987 x 449 ) / 443163

GCD(987, 449) = 443163 / 443163

GCD(987, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

GCD of 987, 449, 39 is 1

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FAQs on GCD of numbers 987, 449, 39

1. What is the GCD of 987, 449, 39?

GCD of 987, 449, 39 is 1

2. Where do I get the detailed procedure to find GCD of 987, 449, 39?

You can find a detailed procedure to find GCD of 987, 449, 39 on our page.

3. How to find GCD of 987, 449, 39 on a calculator?

You can find the GCD of 987, 449, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.