GCD of 284, 633, 205, 135 Calculator

Given Input numbers are 284, 633, 205, 135

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 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 135

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

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

Greatest Common Divisior

We found the divisors of 284, 633, 205, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 633, 205, 135 is 1.

Therefore, GCD of numbers 284, 633, 205, 135 is 1

Given Input Data is 284, 633, 205, 135

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 633 is 3 x 211

Prime Factorization of 205 is 5 x 41

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

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

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, 633) = 179772

GCD(284, 633) = ( 284 x 633 ) / 179772

GCD(284, 633) = 179772 / 179772

GCD(284, 633) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 284, 633, 205, 135 is 1

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1. What is the GCD of 284, 633, 205, 135?

GCD of 284, 633, 205, 135 is 1

2. Where do I get the detailed procedure to find GCD of 284, 633, 205, 135?

You can find a detailed procedure to find GCD of 284, 633, 205, 135 on our page.

3. How to find GCD of 284, 633, 205, 135 on a calculator?

You can find the GCD of 284, 633, 205, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.