GCD of 983, 119, 16 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 983, 119, 16 i.e. 1 largest integer that divides all the numbers equally.

GCD of 983, 119, 16 is 1

GCD(983, 119, 16) = 1

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

GCD of

GCD of numbers 983, 119, 16 is 1

GCD(983, 119, 16) = 1

GCD of 983,119,16 Calculator

GCDof 983,119,16 is 1

Given Input numbers are 983, 119, 16

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 983, 119, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 119, 16 is 1.

Therefore, GCD of numbers 983, 119, 16 is 1

Finding GCD of 983, 119, 16 using Prime Factorization

Given Input Data is 983, 119, 16

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

Prime Factorization of 983 is 983

Prime Factorization of 119 is 7 x 17

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

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

Finding GCD of 983, 119, 16 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(983, 119) = 116977

GCD(983, 119) = ( 983 x 119 ) / 116977

GCD(983, 119) = 116977 / 116977

GCD(983, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 983, 119, 16 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 983, 119, 16

1. What is the GCD of 983, 119, 16?

GCD of 983, 119, 16 is 1

2. Where do I get the detailed procedure to find GCD of 983, 119, 16?

You can find a detailed procedure to find GCD of 983, 119, 16 on our page.

3. How to find GCD of 983, 119, 16 on a calculator?

You can find the GCD of 983, 119, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.