GCD of 328, 257, 749, 896 Calculator

Given Input numbers are 328, 257, 749, 896

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

Divisors of 328

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

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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

Greatest Common Divisior

We found the divisors of 328, 257, 749, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 257, 749, 896 is 1.

Therefore, GCD of numbers 328, 257, 749, 896 is 1

Given Input Data is 328, 257, 749, 896

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

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

Prime Factorization of 257 is 257

Prime Factorization of 749 is 7 x 107

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

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(328, 257) = 84296

GCD(328, 257) = ( 328 x 257 ) / 84296

GCD(328, 257) = 84296 / 84296

GCD(328, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 328, 257, 749, 896 is 1

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1. What is the GCD of 328, 257, 749, 896?

GCD of 328, 257, 749, 896 is 1

2. Where do I get the detailed procedure to find GCD of 328, 257, 749, 896?

You can find a detailed procedure to find GCD of 328, 257, 749, 896 on our page.

3. How to find GCD of 328, 257, 749, 896 on a calculator?

You can find the GCD of 328, 257, 749, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.