GCD of 831, 471, 63, 204 Calculator

Given Input numbers are 831, 471, 63, 204

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 471

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

1, 3, 157, 471

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 831, 471, 63, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 471, 63, 204 is 3.

Therefore, GCD of numbers 831, 471, 63, 204 is 3

Given Input Data is 831, 471, 63, 204

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 471 is 3 x 157

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 204 is 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(831, 471) = 130467

GCD(831, 471) = ( 831 x 471 ) / 130467

GCD(831, 471) = 391401 / 130467

GCD(831, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 204

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

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

GCD(3, 204) = 612 / 204

GCD(3, 204) = 3

GCD of 831, 471, 63, 204 is 3

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1. What is the GCD of 831, 471, 63, 204?

GCD of 831, 471, 63, 204 is 3

2. Where do I get the detailed procedure to find GCD of 831, 471, 63, 204?

You can find a detailed procedure to find GCD of 831, 471, 63, 204 on our page.

3. How to find GCD of 831, 471, 63, 204 on a calculator?

You can find the GCD of 831, 471, 63, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.