GCD of 320, 590, 462 Calculator

Given Input numbers are 320, 590, 462

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 320, 590, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 590, 462 is 2.

Therefore, GCD of numbers 320, 590, 462 is 2

Given Input Data is 320, 590, 462

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 590 is 2 x 5 x 59

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 590) = 18880

GCD(320, 590) = ( 320 x 590 ) / 18880

GCD(320, 590) = 188800 / 18880

GCD(320, 590) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 462

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

LCM(10, 462) = 2310

GCD(10, 462) = ( 10 x 462 ) / 2310

GCD(10, 462) = 4620 / 2310

GCD(10, 462) = 2

GCD of 320, 590, 462 is 2

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1. What is the GCD of 320, 590, 462?

GCD of 320, 590, 462 is 2

2. Where do I get the detailed procedure to find GCD of 320, 590, 462?

You can find a detailed procedure to find GCD of 320, 590, 462 on our page.

3. How to find GCD of 320, 590, 462 on a calculator?

You can find the GCD of 320, 590, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.