GCD of 899, 576, 53, 470 Calculator

Given Input numbers are 899, 576, 53, 470

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

Divisors of 899

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

1, 29, 31, 899

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 899, 576, 53, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 576, 53, 470 is 1.

Therefore, GCD of numbers 899, 576, 53, 470 is 1

Given Input Data is 899, 576, 53, 470

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 53 is 53

Prime Factorization of 470 is 2 x 5 x 47

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(899, 576) = 517824

GCD(899, 576) = ( 899 x 576 ) / 517824

GCD(899, 576) = 517824 / 517824

GCD(899, 576) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 899, 576, 53, 470 is 1

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1. What is the GCD of 899, 576, 53, 470?

GCD of 899, 576, 53, 470 is 1

2. Where do I get the detailed procedure to find GCD of 899, 576, 53, 470?

You can find a detailed procedure to find GCD of 899, 576, 53, 470 on our page.

3. How to find GCD of 899, 576, 53, 470 on a calculator?

You can find the GCD of 899, 576, 53, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.