GCD of 38, 960, 155, 924 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 38, 960, 155, 924 i.e. 1 largest integer that divides all the numbers equally.

GCD of 38, 960, 155, 924 is 1

GCD(38, 960, 155, 924) = 1

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

GCD of

GCD of numbers 38, 960, 155, 924 is 1

GCD(38, 960, 155, 924) = 1

GCD of 38,960,155,924 Calculator

GCDof 38,960,155,924 is 1

Given Input numbers are 38, 960, 155, 924

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 38, 960, 155, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 960, 155, 924 is 1.

Therefore, GCD of numbers 38, 960, 155, 924 is 1

Finding GCD of 38, 960, 155, 924 using Prime Factorization

Given Input Data is 38, 960, 155, 924

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 155 is 5 x 31

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Finding GCD of 38, 960, 155, 924 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(38, 960) = 18240

GCD(38, 960) = ( 38 x 960 ) / 18240

GCD(38, 960) = 36480 / 18240

GCD(38, 960) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 155

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

LCM(2, 155) = 310

GCD(2, 155) = ( 2 x 155 ) / 310

GCD(2, 155) = 310 / 310

GCD(2, 155) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 38, 960, 155, 924 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 38, 960, 155, 924

1. What is the GCD of 38, 960, 155, 924?

GCD of 38, 960, 155, 924 is 1


2. Where do I get the detailed procedure to find GCD of 38, 960, 155, 924?

You can find a detailed procedure to find GCD of 38, 960, 155, 924 on our page.


3. How to find GCD of 38, 960, 155, 924 on a calculator?

You can find the GCD of 38, 960, 155, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.