GCD of 131, 432, 97, 398 Calculator

Given Input numbers are 131, 432, 97, 398

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 131, 432, 97, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 432, 97, 398 is 1.

Therefore, GCD of numbers 131, 432, 97, 398 is 1

Given Input Data is 131, 432, 97, 398

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

Prime Factorization of 131 is 131

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 97 is 97

Prime Factorization of 398 is 2 x 199

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(131, 432) = 56592

GCD(131, 432) = ( 131 x 432 ) / 56592

GCD(131, 432) = 56592 / 56592

GCD(131, 432) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 131, 432, 97, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 906, 79, 676
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1. What is the GCD of 131, 432, 97, 398?

GCD of 131, 432, 97, 398 is 1

2. Where do I get the detailed procedure to find GCD of 131, 432, 97, 398?

You can find a detailed procedure to find GCD of 131, 432, 97, 398 on our page.

3. How to find GCD of 131, 432, 97, 398 on a calculator?

You can find the GCD of 131, 432, 97, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.