GCD of 23, 714, 873, 312 Calculator

Given Input numbers are 23, 714, 873, 312

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 23, 714, 873, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 714, 873, 312 is 1.

Therefore, GCD of numbers 23, 714, 873, 312 is 1

Given Input Data is 23, 714, 873, 312

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

Prime Factorization of 23 is 23

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(23, 714) = 16422

GCD(23, 714) = ( 23 x 714 ) / 16422

GCD(23, 714) = 16422 / 16422

GCD(23, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 23, 714, 873, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 842, 875, 641
• GCD of 76, 781, 603, 216
• GCD of 91, 779, 709, 637
• GCD of 17, 970, 170, 525
• GCD of 23, 665, 346, 787

1. What is the GCD of 23, 714, 873, 312?

GCD of 23, 714, 873, 312 is 1

2. Where do I get the detailed procedure to find GCD of 23, 714, 873, 312?

You can find a detailed procedure to find GCD of 23, 714, 873, 312 on our page.

3. How to find GCD of 23, 714, 873, 312 on a calculator?

You can find the GCD of 23, 714, 873, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.