GCD of 814, 212, 723 Calculator

Given Input numbers are 814, 212, 723

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 814, 212, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 212, 723 is 1.

Therefore, GCD of numbers 814, 212, 723 is 1

Given Input Data is 814, 212, 723

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 723 is 3 x 241

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(814, 212) = 86284

GCD(814, 212) = ( 814 x 212 ) / 86284

GCD(814, 212) = 172568 / 86284

GCD(814, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

GCD of 814, 212, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 406, 317
• GCD of 981, 309, 720
• GCD of 701, 569, 431
• GCD of 517, 144, 602
• GCD of 988, 341, 956

1. What is the GCD of 814, 212, 723?

GCD of 814, 212, 723 is 1

2. Where do I get the detailed procedure to find GCD of 814, 212, 723?

You can find a detailed procedure to find GCD of 814, 212, 723 on our page.

3. How to find GCD of 814, 212, 723 on a calculator?

You can find the GCD of 814, 212, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.