GCD of 33, 724, 142, 944 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 33, 724, 142, 944 i.e. 1 largest integer that divides all the numbers equally.

GCD of 33, 724, 142, 944 is 1

GCD(33, 724, 142, 944) = 1

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

GCD of

GCD of numbers 33, 724, 142, 944 is 1

GCD(33, 724, 142, 944) = 1

GCD of 33,724,142,944 Calculator

GCDof 33,724,142,944 is 1

Given Input numbers are 33, 724, 142, 944

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 33, 724, 142, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 724, 142, 944 is 1.

Therefore, GCD of numbers 33, 724, 142, 944 is 1

Finding GCD of 33, 724, 142, 944 using Prime Factorization

Given Input Data is 33, 724, 142, 944

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 142 is 2 x 71

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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

Finding GCD of 33, 724, 142, 944 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(33, 724) = 23892

GCD(33, 724) = ( 33 x 724 ) / 23892

GCD(33, 724) = 23892 / 23892

GCD(33, 724) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 33, 724, 142, 944 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 33, 724, 142, 944

1. What is the GCD of 33, 724, 142, 944?

GCD of 33, 724, 142, 944 is 1


2. Where do I get the detailed procedure to find GCD of 33, 724, 142, 944?

You can find a detailed procedure to find GCD of 33, 724, 142, 944 on our page.


3. How to find GCD of 33, 724, 142, 944 on a calculator?

You can find the GCD of 33, 724, 142, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.