GCD of 704, 999, 899, 477 Calculator

Given Input numbers are 704, 999, 899, 477

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 704, 999, 899, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 999, 899, 477 is 1.

Therefore, GCD of numbers 704, 999, 899, 477 is 1

Given Input Data is 704, 999, 899, 477

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 899 is 29 x 31

Prime Factorization of 477 is 3 x 3 x 53

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(704, 999) = 703296

GCD(704, 999) = ( 704 x 999 ) / 703296

GCD(704, 999) = 703296 / 703296

GCD(704, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 704, 999, 899, 477 is 1

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1. What is the GCD of 704, 999, 899, 477?

GCD of 704, 999, 899, 477 is 1

2. Where do I get the detailed procedure to find GCD of 704, 999, 899, 477?

You can find a detailed procedure to find GCD of 704, 999, 899, 477 on our page.

3. How to find GCD of 704, 999, 899, 477 on a calculator?

You can find the GCD of 704, 999, 899, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.