GCD of 712, 314, 47, 884 Calculator

Given Input numbers are 712, 314, 47, 884

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 712, 314, 47, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 314, 47, 884 is 1.

Therefore, GCD of numbers 712, 314, 47, 884 is 1

Given Input Data is 712, 314, 47, 884

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 314 is 2 x 157

Prime Factorization of 47 is 47

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(712, 314) = 111784

GCD(712, 314) = ( 712 x 314 ) / 111784

GCD(712, 314) = 223568 / 111784

GCD(712, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 712, 314, 47, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 305, 40, 647
• GCD of 511, 424, 30, 364
• GCD of 773, 644, 17, 962
• GCD of 878, 397, 31, 205
• GCD of 162, 453, 29, 358

1. What is the GCD of 712, 314, 47, 884?

GCD of 712, 314, 47, 884 is 1

2. Where do I get the detailed procedure to find GCD of 712, 314, 47, 884?

You can find a detailed procedure to find GCD of 712, 314, 47, 884 on our page.

3. How to find GCD of 712, 314, 47, 884 on a calculator?

You can find the GCD of 712, 314, 47, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.