GCD of 322, 288, 34, 455 Calculator

Given Input numbers are 322, 288, 34, 455

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

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 322, 288, 34, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 288, 34, 455 is 1.

Therefore, GCD of numbers 322, 288, 34, 455 is 1

Given Input Data is 322, 288, 34, 455

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 34 is 2 x 17

Prime Factorization of 455 is 5 x 7 x 13

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(322, 288) = 46368

GCD(322, 288) = ( 322 x 288 ) / 46368

GCD(322, 288) = 92736 / 46368

GCD(322, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 455

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

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

GCD(2, 455) = 910 / 910

GCD(2, 455) = 1

GCD of 322, 288, 34, 455 is 1

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1. What is the GCD of 322, 288, 34, 455?

GCD of 322, 288, 34, 455 is 1

2. Where do I get the detailed procedure to find GCD of 322, 288, 34, 455?

You can find a detailed procedure to find GCD of 322, 288, 34, 455 on our page.

3. How to find GCD of 322, 288, 34, 455 on a calculator?

You can find the GCD of 322, 288, 34, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.