GCD of 823, 299, 716, 318 Calculator

Given Input numbers are 823, 299, 716, 318

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

Divisors of 823

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

1, 823

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 823, 299, 716, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 299, 716, 318 is 1.

Therefore, GCD of numbers 823, 299, 716, 318 is 1

Given Input Data is 823, 299, 716, 318

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

Prime Factorization of 823 is 823

Prime Factorization of 299 is 13 x 23

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 318 is 2 x 3 x 53

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(823, 299) = 246077

GCD(823, 299) = ( 823 x 299 ) / 246077

GCD(823, 299) = 246077 / 246077

GCD(823, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 823, 299, 716, 318 is 1

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1. What is the GCD of 823, 299, 716, 318?

GCD of 823, 299, 716, 318 is 1

2. Where do I get the detailed procedure to find GCD of 823, 299, 716, 318?

You can find a detailed procedure to find GCD of 823, 299, 716, 318 on our page.

3. How to find GCD of 823, 299, 716, 318 on a calculator?

You can find the GCD of 823, 299, 716, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.