GCD of 474, 464, 396, 903 Calculator

Given Input numbers are 474, 464, 396, 903

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

Divisors of 474

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

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 474, 464, 396, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 464, 396, 903 is 1.

Therefore, GCD of numbers 474, 464, 396, 903 is 1

Given Input Data is 474, 464, 396, 903

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 903 is 3 x 7 x 43

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(474, 464) = 109968

GCD(474, 464) = ( 474 x 464 ) / 109968

GCD(474, 464) = 219936 / 109968

GCD(474, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 474, 464, 396, 903 is 1

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1. What is the GCD of 474, 464, 396, 903?

GCD of 474, 464, 396, 903 is 1

2. Where do I get the detailed procedure to find GCD of 474, 464, 396, 903?

You can find a detailed procedure to find GCD of 474, 464, 396, 903 on our page.

3. How to find GCD of 474, 464, 396, 903 on a calculator?

You can find the GCD of 474, 464, 396, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.