GCD of 397, 471, 31, 659 Calculator

Given Input numbers are 397, 471, 31, 659

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 397, 471, 31, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 471, 31, 659 is 1.

Therefore, GCD of numbers 397, 471, 31, 659 is 1

Given Input Data is 397, 471, 31, 659

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

Prime Factorization of 397 is 397

Prime Factorization of 471 is 3 x 157

Prime Factorization of 31 is 31

Prime Factorization of 659 is 659

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, 471) = 186987

GCD(397, 471) = ( 397 x 471 ) / 186987

GCD(397, 471) = 186987 / 186987

GCD(397, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 397, 471, 31, 659 is 1

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1. What is the GCD of 397, 471, 31, 659?

GCD of 397, 471, 31, 659 is 1

2. Where do I get the detailed procedure to find GCD of 397, 471, 31, 659?

You can find a detailed procedure to find GCD of 397, 471, 31, 659 on our page.

3. How to find GCD of 397, 471, 31, 659 on a calculator?

You can find the GCD of 397, 471, 31, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.