GCD of 947, 512, 489, 471 Calculator

Given Input numbers are 947, 512, 489, 471

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 947, 512, 489, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 512, 489, 471 is 1.

Therefore, GCD of numbers 947, 512, 489, 471 is 1

Given Input Data is 947, 512, 489, 471

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

Prime Factorization of 947 is 947

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 489 is 3 x 163

Prime Factorization of 471 is 3 x 157

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(947, 512) = 484864

GCD(947, 512) = ( 947 x 512 ) / 484864

GCD(947, 512) = 484864 / 484864

GCD(947, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 947, 512, 489, 471 is 1

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1. What is the GCD of 947, 512, 489, 471?

GCD of 947, 512, 489, 471 is 1

2. Where do I get the detailed procedure to find GCD of 947, 512, 489, 471?

You can find a detailed procedure to find GCD of 947, 512, 489, 471 on our page.

3. How to find GCD of 947, 512, 489, 471 on a calculator?

You can find the GCD of 947, 512, 489, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.