GCD of 397, 431, 375, 206 Calculator

Given Input numbers are 397, 431, 375, 206

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 397, 431, 375, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 431, 375, 206 is 1.

Therefore, GCD of numbers 397, 431, 375, 206 is 1

Given Input Data is 397, 431, 375, 206

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

Prime Factorization of 397 is 397

Prime Factorization of 431 is 431

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 206 is 2 x 103

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(397, 431) = 171107

GCD(397, 431) = ( 397 x 431 ) / 171107

GCD(397, 431) = 171107 / 171107

GCD(397, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 397, 431, 375, 206 is 1

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1. What is the GCD of 397, 431, 375, 206?

GCD of 397, 431, 375, 206 is 1

2. Where do I get the detailed procedure to find GCD of 397, 431, 375, 206?

You can find a detailed procedure to find GCD of 397, 431, 375, 206 on our page.

3. How to find GCD of 397, 431, 375, 206 on a calculator?

You can find the GCD of 397, 431, 375, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.