GCD of 498, 558, 66, 393 Calculator

Given Input numbers are 498, 558, 66, 393

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 498, 558, 66, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 558, 66, 393 is 3.

Therefore, GCD of numbers 498, 558, 66, 393 is 3

Given Input Data is 498, 558, 66, 393

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 558 is 2 x 3 x 3 x 31

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 393 is 3 x 131

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 558) = 46314

GCD(498, 558) = ( 498 x 558 ) / 46314

GCD(498, 558) = 277884 / 46314

GCD(498, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 66

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

LCM(6, 66) = 66

GCD(6, 66) = ( 6 x 66 ) / 66

GCD(6, 66) = 396 / 66

GCD(6, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 393

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

LCM(6, 393) = 786

GCD(6, 393) = ( 6 x 393 ) / 786

GCD(6, 393) = 2358 / 786

GCD(6, 393) = 3

GCD of 498, 558, 66, 393 is 3

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• GCD of 223, 122, 89, 537
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• GCD of 375, 970, 66, 261
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1. What is the GCD of 498, 558, 66, 393?

GCD of 498, 558, 66, 393 is 3

2. Where do I get the detailed procedure to find GCD of 498, 558, 66, 393?

You can find a detailed procedure to find GCD of 498, 558, 66, 393 on our page.

3. How to find GCD of 498, 558, 66, 393 on a calculator?

You can find the GCD of 498, 558, 66, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.