GCD of 231, 896, 438, 130 Calculator

Given Input numbers are 231, 896, 438, 130

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

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 231, 896, 438, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 896, 438, 130 is 1.

Therefore, GCD of numbers 231, 896, 438, 130 is 1

Given Input Data is 231, 896, 438, 130

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 130 is 2 x 5 x 13

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(231, 896) = 29568

GCD(231, 896) = ( 231 x 896 ) / 29568

GCD(231, 896) = 206976 / 29568

GCD(231, 896) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 438

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

LCM(7, 438) = 3066

GCD(7, 438) = ( 7 x 438 ) / 3066

GCD(7, 438) = 3066 / 3066

GCD(7, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 231, 896, 438, 130 is 1

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1. What is the GCD of 231, 896, 438, 130?

GCD of 231, 896, 438, 130 is 1

2. Where do I get the detailed procedure to find GCD of 231, 896, 438, 130?

You can find a detailed procedure to find GCD of 231, 896, 438, 130 on our page.

3. How to find GCD of 231, 896, 438, 130 on a calculator?

You can find the GCD of 231, 896, 438, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.