GCD of 320, 658, 958, 559 Calculator

Given Input numbers are 320, 658, 958, 559

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

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 559

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

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 320, 658, 958, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 658, 958, 559 is 1.

Therefore, GCD of numbers 320, 658, 958, 559 is 1

Given Input Data is 320, 658, 958, 559

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

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 958 is 2 x 479

Prime Factorization of 559 is 13 x 43

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(320, 658) = 105280

GCD(320, 658) = ( 320 x 658 ) / 105280

GCD(320, 658) = 210560 / 105280

GCD(320, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 320, 658, 958, 559 is 1

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1. What is the GCD of 320, 658, 958, 559?

GCD of 320, 658, 958, 559 is 1

2. Where do I get the detailed procedure to find GCD of 320, 658, 958, 559?

You can find a detailed procedure to find GCD of 320, 658, 958, 559 on our page.

3. How to find GCD of 320, 658, 958, 559 on a calculator?

You can find the GCD of 320, 658, 958, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.