GCD of 928, 566, 899, 588 Calculator

Given Input numbers are 928, 566, 899, 588

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 899

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

1, 29, 31, 899

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 928, 566, 899, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 566, 899, 588 is 1.

Therefore, GCD of numbers 928, 566, 899, 588 is 1

Given Input Data is 928, 566, 899, 588

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 566 is 2 x 283

Prime Factorization of 899 is 29 x 31

Prime Factorization of 588 is 2 x 2 x 3 x 7 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(928, 566) = 262624

GCD(928, 566) = ( 928 x 566 ) / 262624

GCD(928, 566) = 525248 / 262624

GCD(928, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 928, 566, 899, 588 is 1

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1. What is the GCD of 928, 566, 899, 588?

GCD of 928, 566, 899, 588 is 1

2. Where do I get the detailed procedure to find GCD of 928, 566, 899, 588?

You can find a detailed procedure to find GCD of 928, 566, 899, 588 on our page.

3. How to find GCD of 928, 566, 899, 588 on a calculator?

You can find the GCD of 928, 566, 899, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.