GCD of 336, 506, 833, 992 Calculator

Given Input numbers are 336, 506, 833, 992

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

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

Greatest Common Divisior

We found the divisors of 336, 506, 833, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 506, 833, 992 is 1.

Therefore, GCD of numbers 336, 506, 833, 992 is 1

Given Input Data is 336, 506, 833, 992

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 833 is 7 x 7 x 17

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

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(336, 506) = 85008

GCD(336, 506) = ( 336 x 506 ) / 85008

GCD(336, 506) = 170016 / 85008

GCD(336, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 833

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

LCM(2, 833) = 1666

GCD(2, 833) = ( 2 x 833 ) / 1666

GCD(2, 833) = 1666 / 1666

GCD(2, 833) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 336, 506, 833, 992 is 1

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1. What is the GCD of 336, 506, 833, 992?

GCD of 336, 506, 833, 992 is 1

2. Where do I get the detailed procedure to find GCD of 336, 506, 833, 992?

You can find a detailed procedure to find GCD of 336, 506, 833, 992 on our page.

3. How to find GCD of 336, 506, 833, 992 on a calculator?

You can find the GCD of 336, 506, 833, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.