GCD of 473, 435, 409, 384 Calculator

Given Input numbers are 473, 435, 409, 384

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

Divisors of 473

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

1, 11, 43, 473

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 473, 435, 409, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 435, 409, 384 is 1.

Therefore, GCD of numbers 473, 435, 409, 384 is 1

Given Input Data is 473, 435, 409, 384

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 409 is 409

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(473, 435) = 205755

GCD(473, 435) = ( 473 x 435 ) / 205755

GCD(473, 435) = 205755 / 205755

GCD(473, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 473, 435, 409, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 350, 310, 302
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• GCD of 609, 261, 581, 766
• GCD of 605, 968, 443, 354

1. What is the GCD of 473, 435, 409, 384?

GCD of 473, 435, 409, 384 is 1

2. Where do I get the detailed procedure to find GCD of 473, 435, 409, 384?

You can find a detailed procedure to find GCD of 473, 435, 409, 384 on our page.

3. How to find GCD of 473, 435, 409, 384 on a calculator?

You can find the GCD of 473, 435, 409, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.