GCD of 231, 471, 210, 470 Calculator

Given Input numbers are 231, 471, 210, 470

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 471

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

1, 3, 157, 471

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 231, 471, 210, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 471, 210, 470 is 1.

Therefore, GCD of numbers 231, 471, 210, 470 is 1

Given Input Data is 231, 471, 210, 470

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 471 is 3 x 157

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 470 is 2 x 5 x 47

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, 471) = 36267

GCD(231, 471) = ( 231 x 471 ) / 36267

GCD(231, 471) = 108801 / 36267

GCD(231, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 210

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

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

GCD(3, 210) = 630 / 210

GCD(3, 210) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 470

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

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

GCD(3, 470) = 1410 / 1410

GCD(3, 470) = 1

GCD of 231, 471, 210, 470 is 1

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1. What is the GCD of 231, 471, 210, 470?

GCD of 231, 471, 210, 470 is 1

2. Where do I get the detailed procedure to find GCD of 231, 471, 210, 470?

You can find a detailed procedure to find GCD of 231, 471, 210, 470 on our page.

3. How to find GCD of 231, 471, 210, 470 on a calculator?

You can find the GCD of 231, 471, 210, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.