GCD of 880, 135, 284, 159 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, 135, 284, 159 i.e. 1 largest integer that divides all the numbers equally.

GCD of 880, 135, 284, 159 is 1

GCD(880, 135, 284, 159) = 1

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

GCD of

GCD of numbers 880, 135, 284, 159 is 1

GCD(880, 135, 284, 159) = 1

GCD of 880,135,284,159 Calculator

GCDof 880,135,284,159 is 1

Given Input numbers are 880, 135, 284, 159

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 880, 135, 284, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 135, 284, 159 is 1.

Therefore, GCD of numbers 880, 135, 284, 159 is 1

Finding GCD of 880, 135, 284, 159 using Prime Factorization

Given Input Data is 880, 135, 284, 159

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 159 is 3 x 53

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

Finding GCD of 880, 135, 284, 159 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, 135) = 23760

GCD(880, 135) = ( 880 x 135 ) / 23760

GCD(880, 135) = 118800 / 23760

GCD(880, 135) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 284

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

LCM(5, 284) = 1420

GCD(5, 284) = ( 5 x 284 ) / 1420

GCD(5, 284) = 1420 / 1420

GCD(5, 284) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 880, 135, 284, 159 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 880, 135, 284, 159

1. What is the GCD of 880, 135, 284, 159?

GCD of 880, 135, 284, 159 is 1


2. Where do I get the detailed procedure to find GCD of 880, 135, 284, 159?

You can find a detailed procedure to find GCD of 880, 135, 284, 159 on our page.


3. How to find GCD of 880, 135, 284, 159 on a calculator?

You can find the GCD of 880, 135, 284, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.