GCD of 723, 656, 896 Calculator

Given Input numbers are 723, 656, 896

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 723, 656, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 656, 896 is 1.

Therefore, GCD of numbers 723, 656, 896 is 1

Given Input Data is 723, 656, 896

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(723, 656) = 474288

GCD(723, 656) = ( 723 x 656 ) / 474288

GCD(723, 656) = 474288 / 474288

GCD(723, 656) = 1

Step2:

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 723, 656, 896 is 1

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1. What is the GCD of 723, 656, 896?

GCD of 723, 656, 896 is 1

2. Where do I get the detailed procedure to find GCD of 723, 656, 896?

You can find a detailed procedure to find GCD of 723, 656, 896 on our page.

3. How to find GCD of 723, 656, 896 on a calculator?

You can find the GCD of 723, 656, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.