GCD of 499, 344, 920, 472 Calculator

Given Input numbers are 499, 344, 920, 472

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 499, 344, 920, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 344, 920, 472 is 1.

Therefore, GCD of numbers 499, 344, 920, 472 is 1

Given Input Data is 499, 344, 920, 472

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

Prime Factorization of 499 is 499

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 472 is 2 x 2 x 2 x 59

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, 344) = 171656

GCD(499, 344) = ( 499 x 344 ) / 171656

GCD(499, 344) = 171656 / 171656

GCD(499, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 499, 344, 920, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 660, 133, 469
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• GCD of 352, 109, 684, 409
• GCD of 318, 646, 473, 681

1. What is the GCD of 499, 344, 920, 472?

GCD of 499, 344, 920, 472 is 1

2. Where do I get the detailed procedure to find GCD of 499, 344, 920, 472?

You can find a detailed procedure to find GCD of 499, 344, 920, 472 on our page.

3. How to find GCD of 499, 344, 920, 472 on a calculator?

You can find the GCD of 499, 344, 920, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.