GCD of 434, 231, 576, 134 Calculator

Given Input numbers are 434, 231, 576, 134

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 434, 231, 576, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 231, 576, 134 is 1.

Therefore, GCD of numbers 434, 231, 576, 134 is 1

Given Input Data is 434, 231, 576, 134

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 134 is 2 x 67

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(434, 231) = 14322

GCD(434, 231) = ( 434 x 231 ) / 14322

GCD(434, 231) = 100254 / 14322

GCD(434, 231) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 576

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

LCM(7, 576) = 4032

GCD(7, 576) = ( 7 x 576 ) / 4032

GCD(7, 576) = 4032 / 4032

GCD(7, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 434, 231, 576, 134 is 1

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1. What is the GCD of 434, 231, 576, 134?

GCD of 434, 231, 576, 134 is 1

2. Where do I get the detailed procedure to find GCD of 434, 231, 576, 134?

You can find a detailed procedure to find GCD of 434, 231, 576, 134 on our page.

3. How to find GCD of 434, 231, 576, 134 on a calculator?

You can find the GCD of 434, 231, 576, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.