GCD of 336, 958, 903, 524 Calculator

Given Input numbers are 336, 958, 903, 524

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 336, 958, 903, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 958, 903, 524 is 1.

Therefore, GCD of numbers 336, 958, 903, 524 is 1

Given Input Data is 336, 958, 903, 524

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 958 is 2 x 479

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 524 is 2 x 2 x 131

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, 958) = 160944

GCD(336, 958) = ( 336 x 958 ) / 160944

GCD(336, 958) = 321888 / 160944

GCD(336, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 336, 958, 903, 524 is 1

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1. What is the GCD of 336, 958, 903, 524?

GCD of 336, 958, 903, 524 is 1

2. Where do I get the detailed procedure to find GCD of 336, 958, 903, 524?

You can find a detailed procedure to find GCD of 336, 958, 903, 524 on our page.

3. How to find GCD of 336, 958, 903, 524 on a calculator?

You can find the GCD of 336, 958, 903, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.