GCD of 714, 184, 14, 823 Calculator

Given Input numbers are 714, 184, 14, 823

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

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 714, 184, 14, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 184, 14, 823 is 1.

Therefore, GCD of numbers 714, 184, 14, 823 is 1

Given Input Data is 714, 184, 14, 823

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

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 14 is 2 x 7

Prime Factorization of 823 is 823

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(714, 184) = 65688

GCD(714, 184) = ( 714 x 184 ) / 65688

GCD(714, 184) = 131376 / 65688

GCD(714, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 714, 184, 14, 823 is 1

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• GCD of 905, 267, 20, 594
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1. What is the GCD of 714, 184, 14, 823?

GCD of 714, 184, 14, 823 is 1

2. Where do I get the detailed procedure to find GCD of 714, 184, 14, 823?

You can find a detailed procedure to find GCD of 714, 184, 14, 823 on our page.

3. How to find GCD of 714, 184, 14, 823 on a calculator?

You can find the GCD of 714, 184, 14, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.