GCD of 14, 981, 734, 167 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 14, 981, 734, 167 i.e. 1 largest integer that divides all the numbers equally.

GCD of 14, 981, 734, 167 is 1

GCD(14, 981, 734, 167) = 1

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

GCD of

GCD of numbers 14, 981, 734, 167 is 1

GCD(14, 981, 734, 167) = 1

GCD of 14,981,734,167 Calculator

GCDof 14,981,734,167 is 1

Given Input numbers are 14, 981, 734, 167

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 14, 981, 734, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 981, 734, 167 is 1.

Therefore, GCD of numbers 14, 981, 734, 167 is 1

Finding GCD of 14, 981, 734, 167 using Prime Factorization

Given Input Data is 14, 981, 734, 167

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 734 is 2 x 367

Prime Factorization of 167 is 167

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

Finding GCD of 14, 981, 734, 167 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(14, 981) = 13734

GCD(14, 981) = ( 14 x 981 ) / 13734

GCD(14, 981) = 13734 / 13734

GCD(14, 981) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

GCD of 14, 981, 734, 167 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 14, 981, 734, 167

1. What is the GCD of 14, 981, 734, 167?

GCD of 14, 981, 734, 167 is 1


2. Where do I get the detailed procedure to find GCD of 14, 981, 734, 167?

You can find a detailed procedure to find GCD of 14, 981, 734, 167 on our page.


3. How to find GCD of 14, 981, 734, 167 on a calculator?

You can find the GCD of 14, 981, 734, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.