GCD of 498, 333, 16, 167 Calculator

Given Input numbers are 498, 333, 16, 167

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 333

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

1, 3, 9, 37, 111, 333

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 498, 333, 16, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 333, 16, 167 is 1.

Therefore, GCD of numbers 498, 333, 16, 167 is 1

Given Input Data is 498, 333, 16, 167

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 333 is 3 x 3 x 37

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 167 is 167

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, 333) = 55278

GCD(498, 333) = ( 498 x 333 ) / 55278

GCD(498, 333) = 165834 / 55278

GCD(498, 333) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

GCD of 498, 333, 16, 167 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 286, 38, 153
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• GCD of 962, 250, 11, 590
• GCD of 153, 948, 74, 249

1. What is the GCD of 498, 333, 16, 167?

GCD of 498, 333, 16, 167 is 1

2. Where do I get the detailed procedure to find GCD of 498, 333, 16, 167?

You can find a detailed procedure to find GCD of 498, 333, 16, 167 on our page.

3. How to find GCD of 498, 333, 16, 167 on a calculator?

You can find the GCD of 498, 333, 16, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.