GCD of 224, 722, 353, 478 Calculator

Given Input numbers are 224, 722, 353, 478

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 224, 722, 353, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 722, 353, 478 is 1.

Therefore, GCD of numbers 224, 722, 353, 478 is 1

Given Input Data is 224, 722, 353, 478

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 353 is 353

Prime Factorization of 478 is 2 x 239

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(224, 722) = 80864

GCD(224, 722) = ( 224 x 722 ) / 80864

GCD(224, 722) = 161728 / 80864

GCD(224, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 224, 722, 353, 478 is 1

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1. What is the GCD of 224, 722, 353, 478?

GCD of 224, 722, 353, 478 is 1

2. Where do I get the detailed procedure to find GCD of 224, 722, 353, 478?

You can find a detailed procedure to find GCD of 224, 722, 353, 478 on our page.

3. How to find GCD of 224, 722, 353, 478 on a calculator?

You can find the GCD of 224, 722, 353, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.