GCD of 335, 896, 722 Calculator

Given Input numbers are 335, 896, 722

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

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 335, 896, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 896, 722 is 1.

Therefore, GCD of numbers 335, 896, 722 is 1

Given Input Data is 335, 896, 722

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

Prime Factorization of 335 is 5 x 67

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

Prime Factorization of 722 is 2 x 19 x 19

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(335, 896) = 300160

GCD(335, 896) = ( 335 x 896 ) / 300160

GCD(335, 896) = 300160 / 300160

GCD(335, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 335, 896, 722 is 1

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1. What is the GCD of 335, 896, 722?

GCD of 335, 896, 722 is 1

2. Where do I get the detailed procedure to find GCD of 335, 896, 722?

You can find a detailed procedure to find GCD of 335, 896, 722 on our page.

3. How to find GCD of 335, 896, 722 on a calculator?

You can find the GCD of 335, 896, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.