GCD of 37, 255, 997, 384 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 37, 255, 997, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 37, 255, 997, 384 is 1

GCD(37, 255, 997, 384) = 1

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

GCD of

GCD of numbers 37, 255, 997, 384 is 1

GCD(37, 255, 997, 384) = 1

GCD of 37,255,997,384 Calculator

GCDof 37,255,997,384 is 1

Given Input numbers are 37, 255, 997, 384

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 37, 255, 997, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 255, 997, 384 is 1.

Therefore, GCD of numbers 37, 255, 997, 384 is 1

Finding GCD of 37, 255, 997, 384 using Prime Factorization

Given Input Data is 37, 255, 997, 384

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

Prime Factorization of 37 is 37

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 997 is 997

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 37, 255, 997, 384 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(37, 255) = 9435

GCD(37, 255) = ( 37 x 255 ) / 9435

GCD(37, 255) = 9435 / 9435

GCD(37, 255) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 37, 255, 997, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 37, 255, 997, 384

1. What is the GCD of 37, 255, 997, 384?

GCD of 37, 255, 997, 384 is 1


2. Where do I get the detailed procedure to find GCD of 37, 255, 997, 384?

You can find a detailed procedure to find GCD of 37, 255, 997, 384 on our page.


3. How to find GCD of 37, 255, 997, 384 on a calculator?

You can find the GCD of 37, 255, 997, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.