GCD of 90, 166, 538, 494 Calculator

Given Input numbers are 90, 166, 538, 494

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 90, 166, 538, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 166, 538, 494 is 2.

Therefore, GCD of numbers 90, 166, 538, 494 is 2

Given Input Data is 90, 166, 538, 494

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 166 is 2 x 83

Prime Factorization of 538 is 2 x 269

Prime Factorization of 494 is 2 x 13 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(90, 166) = 7470

GCD(90, 166) = ( 90 x 166 ) / 7470

GCD(90, 166) = 14940 / 7470

GCD(90, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

GCD of 90, 166, 538, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 306, 283, 199
• GCD of 89, 938, 787, 909
• GCD of 15, 725, 132, 275
• GCD of 15, 346, 426, 370
• GCD of 17, 338, 798, 669

1. What is the GCD of 90, 166, 538, 494?

GCD of 90, 166, 538, 494 is 2

2. Where do I get the detailed procedure to find GCD of 90, 166, 538, 494?

You can find a detailed procedure to find GCD of 90, 166, 538, 494 on our page.

3. How to find GCD of 90, 166, 538, 494 on a calculator?

You can find the GCD of 90, 166, 538, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.