GCD of 224, 219, 13, 790 Calculator

Given Input numbers are 224, 219, 13, 790

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 224, 219, 13, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 219, 13, 790 is 1.

Therefore, GCD of numbers 224, 219, 13, 790 is 1

Given Input Data is 224, 219, 13, 790

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 219 is 3 x 73

Prime Factorization of 13 is 13

Prime Factorization of 790 is 2 x 5 x 79

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, 219) = 49056

GCD(224, 219) = ( 224 x 219 ) / 49056

GCD(224, 219) = 49056 / 49056

GCD(224, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 224, 219, 13, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 803, 83, 991
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• GCD of 969, 273, 39, 601

1. What is the GCD of 224, 219, 13, 790?

GCD of 224, 219, 13, 790 is 1

2. Where do I get the detailed procedure to find GCD of 224, 219, 13, 790?

You can find a detailed procedure to find GCD of 224, 219, 13, 790 on our page.

3. How to find GCD of 224, 219, 13, 790 on a calculator?

You can find the GCD of 224, 219, 13, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.