GCD of 320, 322, 342 Calculator

Given Input numbers are 320, 322, 342

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 320, 322, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 322, 342 is 2.

Therefore, GCD of numbers 320, 322, 342 is 2

Given Input Data is 320, 322, 342

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 322 is 2 x 7 x 23

Prime Factorization of 342 is 2 x 3 x 3 x 19

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, 322) = 51520

GCD(320, 322) = ( 320 x 322 ) / 51520

GCD(320, 322) = 103040 / 51520

GCD(320, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 320, 322, 342 is 2

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• GCD of 972, 446, 189
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1. What is the GCD of 320, 322, 342?

GCD of 320, 322, 342 is 2

2. Where do I get the detailed procedure to find GCD of 320, 322, 342?

You can find a detailed procedure to find GCD of 320, 322, 342 on our page.

3. How to find GCD of 320, 322, 342 on a calculator?

You can find the GCD of 320, 322, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.