GCD of 284, 346, 135, 224 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 284, 346, 135, 224 i.e. 1 largest integer that divides all the numbers equally.

GCD of 284, 346, 135, 224 is 1

GCD(284, 346, 135, 224) = 1

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

GCD of

GCD of numbers 284, 346, 135, 224 is 1

GCD(284, 346, 135, 224) = 1

GCD of 284,346,135,224 Calculator

GCDof 284,346,135,224 is 1

Given Input numbers are 284, 346, 135, 224

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

Divisors of 284

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

1, 2, 4, 71, 142, 284

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 284, 346, 135, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 346, 135, 224 is 1.

Therefore, GCD of numbers 284, 346, 135, 224 is 1

Finding GCD of 284, 346, 135, 224 using Prime Factorization

Given Input Data is 284, 346, 135, 224

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 346 is 2 x 173

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

Finding GCD of 284, 346, 135, 224 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(284, 346) = 49132

GCD(284, 346) = ( 284 x 346 ) / 49132

GCD(284, 346) = 98264 / 49132

GCD(284, 346) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 284, 346, 135, 224 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 284, 346, 135, 224

1. What is the GCD of 284, 346, 135, 224?

GCD of 284, 346, 135, 224 is 1


2. Where do I get the detailed procedure to find GCD of 284, 346, 135, 224?

You can find a detailed procedure to find GCD of 284, 346, 135, 224 on our page.


3. How to find GCD of 284, 346, 135, 224 on a calculator?

You can find the GCD of 284, 346, 135, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.