GCD of 44, 908, 117, 704 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 44, 908, 117, 704 i.e. 1 largest integer that divides all the numbers equally.

GCD of 44, 908, 117, 704 is 1

GCD(44, 908, 117, 704) = 1

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

GCD of

GCD of numbers 44, 908, 117, 704 is 1

GCD(44, 908, 117, 704) = 1

GCD of 44,908,117,704 Calculator

GCDof 44,908,117,704 is 1

Given Input numbers are 44, 908, 117, 704

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 44, 908, 117, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 908, 117, 704 is 1.

Therefore, GCD of numbers 44, 908, 117, 704 is 1

Finding GCD of 44, 908, 117, 704 using Prime Factorization

Given Input Data is 44, 908, 117, 704

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Finding GCD of 44, 908, 117, 704 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(44, 908) = 9988

GCD(44, 908) = ( 44 x 908 ) / 9988

GCD(44, 908) = 39952 / 9988

GCD(44, 908) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 117

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

LCM(4, 117) = 468

GCD(4, 117) = ( 4 x 117 ) / 468

GCD(4, 117) = 468 / 468

GCD(4, 117) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 44, 908, 117, 704 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 44, 908, 117, 704

1. What is the GCD of 44, 908, 117, 704?

GCD of 44, 908, 117, 704 is 1


2. Where do I get the detailed procedure to find GCD of 44, 908, 117, 704?

You can find a detailed procedure to find GCD of 44, 908, 117, 704 on our page.


3. How to find GCD of 44, 908, 117, 704 on a calculator?

You can find the GCD of 44, 908, 117, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.