GCD of 569, 998, 16, 392 Calculator

Given Input numbers are 569, 998, 16, 392

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

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 569, 998, 16, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 998, 16, 392 is 1.

Therefore, GCD of numbers 569, 998, 16, 392 is 1

Given Input Data is 569, 998, 16, 392

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

Prime Factorization of 569 is 569

Prime Factorization of 998 is 2 x 499

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 392 is 2 x 2 x 2 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(569, 998) = 567862

GCD(569, 998) = ( 569 x 998 ) / 567862

GCD(569, 998) = 567862 / 567862

GCD(569, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 569, 998, 16, 392 is 1

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1. What is the GCD of 569, 998, 16, 392?

GCD of 569, 998, 16, 392 is 1

2. Where do I get the detailed procedure to find GCD of 569, 998, 16, 392?

You can find a detailed procedure to find GCD of 569, 998, 16, 392 on our page.

3. How to find GCD of 569, 998, 16, 392 on a calculator?

You can find the GCD of 569, 998, 16, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.