GCD of 226, 896, 53, 328 Calculator

Given Input numbers are 226, 896, 53, 328

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 226, 896, 53, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 896, 53, 328 is 1.

Therefore, GCD of numbers 226, 896, 53, 328 is 1

Given Input Data is 226, 896, 53, 328

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 53 is 53

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(226, 896) = 101248

GCD(226, 896) = ( 226 x 896 ) / 101248

GCD(226, 896) = 202496 / 101248

GCD(226, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 226, 896, 53, 328 is 1

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1. What is the GCD of 226, 896, 53, 328?

GCD of 226, 896, 53, 328 is 1

2. Where do I get the detailed procedure to find GCD of 226, 896, 53, 328?

You can find a detailed procedure to find GCD of 226, 896, 53, 328 on our page.

3. How to find GCD of 226, 896, 53, 328 on a calculator?

You can find the GCD of 226, 896, 53, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.