GCD of 16, 377, 715, 249 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 16, 377, 715, 249 i.e. 1 largest integer that divides all the numbers equally.

GCD of 16, 377, 715, 249 is 1

GCD(16, 377, 715, 249) = 1

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

GCD of

GCD of numbers 16, 377, 715, 249 is 1

GCD(16, 377, 715, 249) = 1

GCD of 16,377,715,249 Calculator

GCDof 16,377,715,249 is 1

Given Input numbers are 16, 377, 715, 249

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 16, 377, 715, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 377, 715, 249 is 1.

Therefore, GCD of numbers 16, 377, 715, 249 is 1

Finding GCD of 16, 377, 715, 249 using Prime Factorization

Given Input Data is 16, 377, 715, 249

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 377 is 13 x 29

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 249 is 3 x 83

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

Finding GCD of 16, 377, 715, 249 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(16, 377) = 6032

GCD(16, 377) = ( 16 x 377 ) / 6032

GCD(16, 377) = 6032 / 6032

GCD(16, 377) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 16, 377, 715, 249 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 16, 377, 715, 249

1. What is the GCD of 16, 377, 715, 249?

GCD of 16, 377, 715, 249 is 1


2. Where do I get the detailed procedure to find GCD of 16, 377, 715, 249?

You can find a detailed procedure to find GCD of 16, 377, 715, 249 on our page.


3. How to find GCD of 16, 377, 715, 249 on a calculator?

You can find the GCD of 16, 377, 715, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.