GCD of 228, 792, 641, 474 Calculator

Given Input numbers are 228, 792, 641, 474

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 228, 792, 641, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 792, 641, 474 is 1.

Therefore, GCD of numbers 228, 792, 641, 474 is 1

Given Input Data is 228, 792, 641, 474

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 641 is 641

Prime Factorization of 474 is 2 x 3 x 79

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(228, 792) = 15048

GCD(228, 792) = ( 228 x 792 ) / 15048

GCD(228, 792) = 180576 / 15048

GCD(228, 792) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 641

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

LCM(12, 641) = 7692

GCD(12, 641) = ( 12 x 641 ) / 7692

GCD(12, 641) = 7692 / 7692

GCD(12, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 228, 792, 641, 474 is 1

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1. What is the GCD of 228, 792, 641, 474?

GCD of 228, 792, 641, 474 is 1

2. Where do I get the detailed procedure to find GCD of 228, 792, 641, 474?

You can find a detailed procedure to find GCD of 228, 792, 641, 474 on our page.

3. How to find GCD of 228, 792, 641, 474 on a calculator?

You can find the GCD of 228, 792, 641, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.