GCD of 721, 224, 398, 470 Calculator

Given Input numbers are 721, 224, 398, 470

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 721, 224, 398, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 224, 398, 470 is 1.

Therefore, GCD of numbers 721, 224, 398, 470 is 1

Given Input Data is 721, 224, 398, 470

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

Prime Factorization of 721 is 7 x 103

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 470 is 2 x 5 x 47

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(721, 224) = 23072

GCD(721, 224) = ( 721 x 224 ) / 23072

GCD(721, 224) = 161504 / 23072

GCD(721, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 398

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

LCM(7, 398) = 2786

GCD(7, 398) = ( 7 x 398 ) / 2786

GCD(7, 398) = 2786 / 2786

GCD(7, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 721, 224, 398, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 907, 420, 223
• GCD of 167, 412, 572, 756
• GCD of 200, 400, 836, 281
• GCD of 121, 891, 228, 539
• GCD of 646, 501, 655, 889

1. What is the GCD of 721, 224, 398, 470?

GCD of 721, 224, 398, 470 is 1

2. Where do I get the detailed procedure to find GCD of 721, 224, 398, 470?

You can find a detailed procedure to find GCD of 721, 224, 398, 470 on our page.

3. How to find GCD of 721, 224, 398, 470 on a calculator?

You can find the GCD of 721, 224, 398, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.