GCD of 16, 49, 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 16, 49, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 16, 49, 14 is 1

GCD(16, 49, 14) = 1

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

GCD of

GCD of numbers 16, 49, 14 is 1

GCD(16, 49, 14) = 1

GCD of 16,49,14 Calculator

GCDof 16,49,14 is 1

Given Input numbers are 16, 49, 14

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 16, 49, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 49, 14 is 1.

Therefore, GCD of numbers 16, 49, 14 is 1

Finding GCD of 16, 49, 14 using Prime Factorization

Given Input Data is 16, 49, 14

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 49 is 7 x 7

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 16, 49, 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(16, 49) = 784

GCD(16, 49) = ( 16 x 49 ) / 784

GCD(16, 49) = 784 / 784

GCD(16, 49) = 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 16, 49, 14 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 16, 49, 14

1. What is the GCD of 16, 49, 14?

GCD of 16, 49, 14 is 1


2. Where do I get the detailed procedure to find GCD of 16, 49, 14?

You can find a detailed procedure to find GCD of 16, 49, 14 on our page.


3. How to find GCD of 16, 49, 14 on a calculator?

You can find the GCD of 16, 49, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.