GCD of 899, 966, 28, 583 Calculator

Given Input numbers are 899, 966, 28, 583

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 899, 966, 28, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 966, 28, 583 is 1.

Therefore, GCD of numbers 899, 966, 28, 583 is 1

Given Input Data is 899, 966, 28, 583

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 583 is 11 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(899, 966) = 868434

GCD(899, 966) = ( 899 x 966 ) / 868434

GCD(899, 966) = 868434 / 868434

GCD(899, 966) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 899, 966, 28, 583 is 1

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1. What is the GCD of 899, 966, 28, 583?

GCD of 899, 966, 28, 583 is 1

2. Where do I get the detailed procedure to find GCD of 899, 966, 28, 583?

You can find a detailed procedure to find GCD of 899, 966, 28, 583 on our page.

3. How to find GCD of 899, 966, 28, 583 on a calculator?

You can find the GCD of 899, 966, 28, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.