GCD of 721, 784, 259, 422 Calculator

Given Input numbers are 721, 784, 259, 422

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 721, 784, 259, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 784, 259, 422 is 1.

Therefore, GCD of numbers 721, 784, 259, 422 is 1

Given Input Data is 721, 784, 259, 422

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 259 is 7 x 37

Prime Factorization of 422 is 2 x 211

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, 784) = 80752

GCD(721, 784) = ( 721 x 784 ) / 80752

GCD(721, 784) = 565264 / 80752

GCD(721, 784) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 259

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

LCM(7, 259) = 259

GCD(7, 259) = ( 7 x 259 ) / 259

GCD(7, 259) = 1813 / 259

GCD(7, 259) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 422

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

LCM(7, 422) = 2954

GCD(7, 422) = ( 7 x 422 ) / 2954

GCD(7, 422) = 2954 / 2954

GCD(7, 422) = 1

GCD of 721, 784, 259, 422 is 1

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1. What is the GCD of 721, 784, 259, 422?

GCD of 721, 784, 259, 422 is 1

2. Where do I get the detailed procedure to find GCD of 721, 784, 259, 422?

You can find a detailed procedure to find GCD of 721, 784, 259, 422 on our page.

3. How to find GCD of 721, 784, 259, 422 on a calculator?

You can find the GCD of 721, 784, 259, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.