GCD of 303, 473, 406, 462 Calculator

Given Input numbers are 303, 473, 406, 462

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 303, 473, 406, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 473, 406, 462 is 1.

Therefore, GCD of numbers 303, 473, 406, 462 is 1

Given Input Data is 303, 473, 406, 462

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 473 is 11 x 43

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(303, 473) = 143319

GCD(303, 473) = ( 303 x 473 ) / 143319

GCD(303, 473) = 143319 / 143319

GCD(303, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 303, 473, 406, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 154, 468, 563
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• GCD of 559, 182, 499, 164

1. What is the GCD of 303, 473, 406, 462?

GCD of 303, 473, 406, 462 is 1

2. Where do I get the detailed procedure to find GCD of 303, 473, 406, 462?

You can find a detailed procedure to find GCD of 303, 473, 406, 462 on our page.

3. How to find GCD of 303, 473, 406, 462 on a calculator?

You can find the GCD of 303, 473, 406, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.