GCD of 816, 457, 72, 322 Calculator

Given Input numbers are 816, 457, 72, 322

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

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 816, 457, 72, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 457, 72, 322 is 1.

Therefore, GCD of numbers 816, 457, 72, 322 is 1

Given Input Data is 816, 457, 72, 322

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

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

Prime Factorization of 457 is 457

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

Prime Factorization of 322 is 2 x 7 x 23

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(816, 457) = 372912

GCD(816, 457) = ( 816 x 457 ) / 372912

GCD(816, 457) = 372912 / 372912

GCD(816, 457) = 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 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 816, 457, 72, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 910, 50, 699
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• GCD of 776, 821, 11, 623
• GCD of 210, 800, 37, 145

1. What is the GCD of 816, 457, 72, 322?

GCD of 816, 457, 72, 322 is 1

2. Where do I get the detailed procedure to find GCD of 816, 457, 72, 322?

You can find a detailed procedure to find GCD of 816, 457, 72, 322 on our page.

3. How to find GCD of 816, 457, 72, 322 on a calculator?

You can find the GCD of 816, 457, 72, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.