GCD of 880, 335, 804, 144 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 880, 335, 804, 144 i.e. 1 largest integer that divides all the numbers equally.

GCD of 880, 335, 804, 144 is 1

GCD(880, 335, 804, 144) = 1

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

GCD of

GCD of numbers 880, 335, 804, 144 is 1

GCD(880, 335, 804, 144) = 1

GCD of 880,335,804,144 Calculator

GCDof 880,335,804,144 is 1

Given Input numbers are 880, 335, 804, 144

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 880, 335, 804, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 335, 804, 144 is 1.

Therefore, GCD of numbers 880, 335, 804, 144 is 1

Finding GCD of 880, 335, 804, 144 using Prime Factorization

Given Input Data is 880, 335, 804, 144

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 335 is 5 x 67

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

Finding GCD of 880, 335, 804, 144 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(880, 335) = 58960

GCD(880, 335) = ( 880 x 335 ) / 58960

GCD(880, 335) = 294800 / 58960

GCD(880, 335) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 804

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

LCM(5, 804) = 4020

GCD(5, 804) = ( 5 x 804 ) / 4020

GCD(5, 804) = 4020 / 4020

GCD(5, 804) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 880, 335, 804, 144 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 880, 335, 804, 144

1. What is the GCD of 880, 335, 804, 144?

GCD of 880, 335, 804, 144 is 1


2. Where do I get the detailed procedure to find GCD of 880, 335, 804, 144?

You can find a detailed procedure to find GCD of 880, 335, 804, 144 on our page.


3. How to find GCD of 880, 335, 804, 144 on a calculator?

You can find the GCD of 880, 335, 804, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.