GCD of 939, 459, 40, 498 Calculator

Given Input numbers are 939, 459, 40, 498

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 939, 459, 40, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 459, 40, 498 is 1.

Therefore, GCD of numbers 939, 459, 40, 498 is 1

Given Input Data is 939, 459, 40, 498

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 498 is 2 x 3 x 83

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(939, 459) = 143667

GCD(939, 459) = ( 939 x 459 ) / 143667

GCD(939, 459) = 431001 / 143667

GCD(939, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 939, 459, 40, 498 is 1

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1. What is the GCD of 939, 459, 40, 498?

GCD of 939, 459, 40, 498 is 1

2. Where do I get the detailed procedure to find GCD of 939, 459, 40, 498?

You can find a detailed procedure to find GCD of 939, 459, 40, 498 on our page.

3. How to find GCD of 939, 459, 40, 498 on a calculator?

You can find the GCD of 939, 459, 40, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.