GCD of 992, 208, 329, 816 Calculator

Given Input numbers are 992, 208, 329, 816

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

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

Greatest Common Divisior

We found the divisors of 992, 208, 329, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 208, 329, 816 is 1.

Therefore, GCD of numbers 992, 208, 329, 816 is 1

Given Input Data is 992, 208, 329, 816

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 329 is 7 x 47

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

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(992, 208) = 12896

GCD(992, 208) = ( 992 x 208 ) / 12896

GCD(992, 208) = 206336 / 12896

GCD(992, 208) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 329

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

LCM(16, 329) = 5264

GCD(16, 329) = ( 16 x 329 ) / 5264

GCD(16, 329) = 5264 / 5264

GCD(16, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 992, 208, 329, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 658, 440, 669
• GCD of 188, 883, 442, 439
• GCD of 618, 262, 839, 719
• GCD of 497, 462, 764, 192
• GCD of 329, 968, 634, 929

1. What is the GCD of 992, 208, 329, 816?

GCD of 992, 208, 329, 816 is 1

2. Where do I get the detailed procedure to find GCD of 992, 208, 329, 816?

You can find a detailed procedure to find GCD of 992, 208, 329, 816 on our page.

3. How to find GCD of 992, 208, 329, 816 on a calculator?

You can find the GCD of 992, 208, 329, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.