GCD of 559, 699, 644, 318 Calculator

Given Input numbers are 559, 699, 644, 318

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 559, 699, 644, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 699, 644, 318 is 1.

Therefore, GCD of numbers 559, 699, 644, 318 is 1

Given Input Data is 559, 699, 644, 318

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 699 is 3 x 233

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 318 is 2 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(559, 699) = 390741

GCD(559, 699) = ( 559 x 699 ) / 390741

GCD(559, 699) = 390741 / 390741

GCD(559, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 559, 699, 644, 318 is 1

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1. What is the GCD of 559, 699, 644, 318?

GCD of 559, 699, 644, 318 is 1

2. Where do I get the detailed procedure to find GCD of 559, 699, 644, 318?

You can find a detailed procedure to find GCD of 559, 699, 644, 318 on our page.

3. How to find GCD of 559, 699, 644, 318 on a calculator?

You can find the GCD of 559, 699, 644, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.