GCD of 498, 501, 333, 891 Calculator

Given Input numbers are 498, 501, 333, 891

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 498, 501, 333, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 501, 333, 891 is 3.

Therefore, GCD of numbers 498, 501, 333, 891 is 3

Given Input Data is 498, 501, 333, 891

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 501 is 3 x 167

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 501) = 83166

GCD(498, 501) = ( 498 x 501 ) / 83166

GCD(498, 501) = 249498 / 83166

GCD(498, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 333

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

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

GCD(3, 333) = 999 / 333

GCD(3, 333) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 891

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

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

GCD(3, 891) = 2673 / 891

GCD(3, 891) = 3

GCD of 498, 501, 333, 891 is 3

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1. What is the GCD of 498, 501, 333, 891?

GCD of 498, 501, 333, 891 is 3

2. Where do I get the detailed procedure to find GCD of 498, 501, 333, 891?

You can find a detailed procedure to find GCD of 498, 501, 333, 891 on our page.

3. How to find GCD of 498, 501, 333, 891 on a calculator?

You can find the GCD of 498, 501, 333, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.