GCD of 431, 231, 971 Calculator

Given Input numbers are 431, 231, 971

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

Divisors of 431

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

1, 431

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 431, 231, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 231, 971 is 1.

Therefore, GCD of numbers 431, 231, 971 is 1

Given Input Data is 431, 231, 971

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

Prime Factorization of 431 is 431

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 971 is 971

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(431, 231) = 99561

GCD(431, 231) = ( 431 x 231 ) / 99561

GCD(431, 231) = 99561 / 99561

GCD(431, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 431, 231, 971 is 1

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1. What is the GCD of 431, 231, 971?

GCD of 431, 231, 971 is 1

2. Where do I get the detailed procedure to find GCD of 431, 231, 971?

You can find a detailed procedure to find GCD of 431, 231, 971 on our page.

3. How to find GCD of 431, 231, 971 on a calculator?

You can find the GCD of 431, 231, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.