GCD of 498, 114, 484, 933 Calculator

Given Input numbers are 498, 114, 484, 933

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

Divisors of 498

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

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 498, 114, 484, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 114, 484, 933 is 1.

Therefore, GCD of numbers 498, 114, 484, 933 is 1

Given Input Data is 498, 114, 484, 933

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 933 is 3 x 311

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(498, 114) = 9462

GCD(498, 114) = ( 498 x 114 ) / 9462

GCD(498, 114) = 56772 / 9462

GCD(498, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 484

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

LCM(6, 484) = 1452

GCD(6, 484) = ( 6 x 484 ) / 1452

GCD(6, 484) = 2904 / 1452

GCD(6, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 933

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

LCM(2, 933) = 1866

GCD(2, 933) = ( 2 x 933 ) / 1866

GCD(2, 933) = 1866 / 1866

GCD(2, 933) = 1

GCD of 498, 114, 484, 933 is 1

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1. What is the GCD of 498, 114, 484, 933?

GCD of 498, 114, 484, 933 is 1

2. Where do I get the detailed procedure to find GCD of 498, 114, 484, 933?

You can find a detailed procedure to find GCD of 498, 114, 484, 933 on our page.

3. How to find GCD of 498, 114, 484, 933 on a calculator?

You can find the GCD of 498, 114, 484, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.