GCD of 499, 924, 893, 339 Calculator

Given Input numbers are 499, 924, 893, 339

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 499, 924, 893, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 924, 893, 339 is 1.

Therefore, GCD of numbers 499, 924, 893, 339 is 1

Given Input Data is 499, 924, 893, 339

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

Prime Factorization of 499 is 499

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 893 is 19 x 47

Prime Factorization of 339 is 3 x 113

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(499, 924) = 461076

GCD(499, 924) = ( 499 x 924 ) / 461076

GCD(499, 924) = 461076 / 461076

GCD(499, 924) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 499, 924, 893, 339 is 1

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1. What is the GCD of 499, 924, 893, 339?

GCD of 499, 924, 893, 339 is 1

2. Where do I get the detailed procedure to find GCD of 499, 924, 893, 339?

You can find a detailed procedure to find GCD of 499, 924, 893, 339 on our page.

3. How to find GCD of 499, 924, 893, 339 on a calculator?

You can find the GCD of 499, 924, 893, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.