GCD of 320, 694, 598 Calculator

Given Input numbers are 320, 694, 598

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 320, 694, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 694, 598 is 2.

Therefore, GCD of numbers 320, 694, 598 is 2

Given Input Data is 320, 694, 598

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 694 is 2 x 347

Prime Factorization of 598 is 2 x 13 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 694) = 111040

GCD(320, 694) = ( 320 x 694 ) / 111040

GCD(320, 694) = 222080 / 111040

GCD(320, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

GCD of 320, 694, 598 is 2

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1. What is the GCD of 320, 694, 598?

GCD of 320, 694, 598 is 2

2. Where do I get the detailed procedure to find GCD of 320, 694, 598?

You can find a detailed procedure to find GCD of 320, 694, 598 on our page.

3. How to find GCD of 320, 694, 598 on a calculator?

You can find the GCD of 320, 694, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.