GCD of 498, 966, 18, 573 Calculator

Given Input numbers are 498, 966, 18, 573

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 498, 966, 18, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 966, 18, 573 is 3.

Therefore, GCD of numbers 498, 966, 18, 573 is 3

Given Input Data is 498, 966, 18, 573

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 573 is 3 x 191

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, 966) = 80178

GCD(498, 966) = ( 498 x 966 ) / 80178

GCD(498, 966) = 481068 / 80178

GCD(498, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 573

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

LCM(6, 573) = 1146

GCD(6, 573) = ( 6 x 573 ) / 1146

GCD(6, 573) = 3438 / 1146

GCD(6, 573) = 3

GCD of 498, 966, 18, 573 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 291, 46, 944
• GCD of 429, 630, 94, 784
• GCD of 519, 932, 49, 547
• GCD of 193, 110, 39, 146
• GCD of 122, 791, 59, 786

1. What is the GCD of 498, 966, 18, 573?

GCD of 498, 966, 18, 573 is 3

2. Where do I get the detailed procedure to find GCD of 498, 966, 18, 573?

You can find a detailed procedure to find GCD of 498, 966, 18, 573 on our page.

3. How to find GCD of 498, 966, 18, 573 on a calculator?

You can find the GCD of 498, 966, 18, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.