GCD of 471, 459, 352, 336 Calculator

Given Input numbers are 471, 459, 352, 336

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

Divisors of 471

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

1, 3, 157, 471

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 471, 459, 352, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 459, 352, 336 is 1.

Therefore, GCD of numbers 471, 459, 352, 336 is 1

Given Input Data is 471, 459, 352, 336

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(471, 459) = 72063

GCD(471, 459) = ( 471 x 459 ) / 72063

GCD(471, 459) = 216189 / 72063

GCD(471, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 352

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

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

GCD(3, 352) = 1056 / 1056

GCD(3, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 471, 459, 352, 336 is 1

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1. What is the GCD of 471, 459, 352, 336?

GCD of 471, 459, 352, 336 is 1

2. Where do I get the detailed procedure to find GCD of 471, 459, 352, 336?

You can find a detailed procedure to find GCD of 471, 459, 352, 336 on our page.

3. How to find GCD of 471, 459, 352, 336 on a calculator?

You can find the GCD of 471, 459, 352, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.