GCD of 231, 261, 643, 463 Calculator

Given Input numbers are 231, 261, 643, 463

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 231, 261, 643, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 261, 643, 463 is 1.

Therefore, GCD of numbers 231, 261, 643, 463 is 1

Given Input Data is 231, 261, 643, 463

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 261 is 3 x 3 x 29

Prime Factorization of 643 is 643

Prime Factorization of 463 is 463

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, 261) = 20097

GCD(231, 261) = ( 231 x 261 ) / 20097

GCD(231, 261) = 60291 / 20097

GCD(231, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 643

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

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

GCD(3, 643) = 1929 / 1929

GCD(3, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 231, 261, 643, 463 is 1

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• GCD of 563, 771, 466, 247
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1. What is the GCD of 231, 261, 643, 463?

GCD of 231, 261, 643, 463 is 1

2. Where do I get the detailed procedure to find GCD of 231, 261, 643, 463?

You can find a detailed procedure to find GCD of 231, 261, 643, 463 on our page.

3. How to find GCD of 231, 261, 643, 463 on a calculator?

You can find the GCD of 231, 261, 643, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.