GCD of 559, 973, 699, 320 Calculator

Given Input numbers are 559, 973, 699, 320

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 699

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

1, 3, 233, 699

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 559, 973, 699, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 973, 699, 320 is 1.

Therefore, GCD of numbers 559, 973, 699, 320 is 1

Given Input Data is 559, 973, 699, 320

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 973 is 7 x 139

Prime Factorization of 699 is 3 x 233

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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, 973) = 543907

GCD(559, 973) = ( 559 x 973 ) / 543907

GCD(559, 973) = 543907 / 543907

GCD(559, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 559, 973, 699, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 357, 200, 732
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1. What is the GCD of 559, 973, 699, 320?

GCD of 559, 973, 699, 320 is 1

2. Where do I get the detailed procedure to find GCD of 559, 973, 699, 320?

You can find a detailed procedure to find GCD of 559, 973, 699, 320 on our page.

3. How to find GCD of 559, 973, 699, 320 on a calculator?

You can find the GCD of 559, 973, 699, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.