GCD of 744, 163, 114, 427 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 744, 163, 114, 427 i.e. 1 largest integer that divides all the numbers equally.

GCD of 744, 163, 114, 427 is 1

GCD(744, 163, 114, 427) = 1

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

GCD of

GCD of numbers 744, 163, 114, 427 is 1

GCD(744, 163, 114, 427) = 1

GCD of 744,163,114,427 Calculator

GCDof 744,163,114,427 is 1

Given Input numbers are 744, 163, 114, 427

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 744, 163, 114, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 163, 114, 427 is 1.

Therefore, GCD of numbers 744, 163, 114, 427 is 1

Finding GCD of 744, 163, 114, 427 using Prime Factorization

Given Input Data is 744, 163, 114, 427

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 163 is 163

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 427 is 7 x 61

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

Finding GCD of 744, 163, 114, 427 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(744, 163) = 121272

GCD(744, 163) = ( 744 x 163 ) / 121272

GCD(744, 163) = 121272 / 121272

GCD(744, 163) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 744, 163, 114, 427 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 744, 163, 114, 427

1. What is the GCD of 744, 163, 114, 427?

GCD of 744, 163, 114, 427 is 1


2. Where do I get the detailed procedure to find GCD of 744, 163, 114, 427?

You can find a detailed procedure to find GCD of 744, 163, 114, 427 on our page.


3. How to find GCD of 744, 163, 114, 427 on a calculator?

You can find the GCD of 744, 163, 114, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.