GCD of 322, 484, 113, 128 Calculator

Given Input numbers are 322, 484, 113, 128

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 322, 484, 113, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 484, 113, 128 is 1.

Therefore, GCD of numbers 322, 484, 113, 128 is 1

Given Input Data is 322, 484, 113, 128

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 113 is 113

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 484) = 77924

GCD(322, 484) = ( 322 x 484 ) / 77924

GCD(322, 484) = 155848 / 77924

GCD(322, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 322, 484, 113, 128 is 1

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1. What is the GCD of 322, 484, 113, 128?

GCD of 322, 484, 113, 128 is 1

2. Where do I get the detailed procedure to find GCD of 322, 484, 113, 128?

You can find a detailed procedure to find GCD of 322, 484, 113, 128 on our page.

3. How to find GCD of 322, 484, 113, 128 on a calculator?

You can find the GCD of 322, 484, 113, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.