GCD of 523, 816, 72, 814 Calculator

Given Input numbers are 523, 816, 72, 814

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 523, 816, 72, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 816, 72, 814 is 1.

Therefore, GCD of numbers 523, 816, 72, 814 is 1

Given Input Data is 523, 816, 72, 814

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

Prime Factorization of 523 is 523

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 814 is 2 x 11 x 37

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(523, 816) = 426768

GCD(523, 816) = ( 523 x 816 ) / 426768

GCD(523, 816) = 426768 / 426768

GCD(523, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 523, 816, 72, 814 is 1

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• GCD of 258, 178, 11, 938
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1. What is the GCD of 523, 816, 72, 814?

GCD of 523, 816, 72, 814 is 1

2. Where do I get the detailed procedure to find GCD of 523, 816, 72, 814?

You can find a detailed procedure to find GCD of 523, 816, 72, 814 on our page.

3. How to find GCD of 523, 816, 72, 814 on a calculator?

You can find the GCD of 523, 816, 72, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.