GCD of 14, 443, 742, 901 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, 443, 742, 901 i.e. 1 largest integer that divides all the numbers equally.

GCD of 14, 443, 742, 901 is 1

GCD(14, 443, 742, 901) = 1

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

GCD of

GCD of numbers 14, 443, 742, 901 is 1

GCD(14, 443, 742, 901) = 1

GCD of 14,443,742,901 Calculator

GCDof 14,443,742,901 is 1

Given Input numbers are 14, 443, 742, 901

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 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 14, 443, 742, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 443, 742, 901 is 1.

Therefore, GCD of numbers 14, 443, 742, 901 is 1

Finding GCD of 14, 443, 742, 901 using Prime Factorization

Given Input Data is 14, 443, 742, 901

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 443 is 443

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 901 is 17 x 53

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

Finding GCD of 14, 443, 742, 901 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, 443) = 6202

GCD(14, 443) = ( 14 x 443 ) / 6202

GCD(14, 443) = 6202 / 6202

GCD(14, 443) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 14, 443, 742, 901 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 14, 443, 742, 901

1. What is the GCD of 14, 443, 742, 901?

GCD of 14, 443, 742, 901 is 1


2. Where do I get the detailed procedure to find GCD of 14, 443, 742, 901?

You can find a detailed procedure to find GCD of 14, 443, 742, 901 on our page.


3. How to find GCD of 14, 443, 742, 901 on a calculator?

You can find the GCD of 14, 443, 742, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.