GCD of 784, 744, 13, 531 Calculator

Given Input numbers are 784, 744, 13, 531

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

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 13

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

1, 13

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 784, 744, 13, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 744, 13, 531 is 1.

Therefore, GCD of numbers 784, 744, 13, 531 is 1

Given Input Data is 784, 744, 13, 531

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

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 13 is 13

Prime Factorization of 531 is 3 x 3 x 59

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(784, 744) = 72912

GCD(784, 744) = ( 784 x 744 ) / 72912

GCD(784, 744) = 583296 / 72912

GCD(784, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 13

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

LCM(8, 13) = 104

GCD(8, 13) = ( 8 x 13 ) / 104

GCD(8, 13) = 104 / 104

GCD(8, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

GCD of 784, 744, 13, 531 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 552, 26, 865
• GCD of 317, 659, 46, 622
• GCD of 167, 402, 51, 259
• GCD of 639, 377, 38, 291
• GCD of 319, 260, 58, 731

1. What is the GCD of 784, 744, 13, 531?

GCD of 784, 744, 13, 531 is 1

2. Where do I get the detailed procedure to find GCD of 784, 744, 13, 531?

You can find a detailed procedure to find GCD of 784, 744, 13, 531 on our page.

3. How to find GCD of 784, 744, 13, 531 on a calculator?

You can find the GCD of 784, 744, 13, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.