GCD of 538, 206, 15, 494 Calculator

Given Input numbers are 538, 206, 15, 494

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

Divisors of 538

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

1, 2, 269, 538

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 538, 206, 15, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 206, 15, 494 is 1.

Therefore, GCD of numbers 538, 206, 15, 494 is 1

Given Input Data is 538, 206, 15, 494

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 206 is 2 x 103

Prime Factorization of 15 is 3 x 5

Prime Factorization of 494 is 2 x 13 x 19

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(538, 206) = 55414

GCD(538, 206) = ( 538 x 206 ) / 55414

GCD(538, 206) = 110828 / 55414

GCD(538, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 538, 206, 15, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 623, 44, 334
• GCD of 777, 352, 82, 289
• GCD of 720, 394, 45, 576
• GCD of 227, 696, 62, 985
• GCD of 809, 828, 15, 620

1. What is the GCD of 538, 206, 15, 494?

GCD of 538, 206, 15, 494 is 1

2. Where do I get the detailed procedure to find GCD of 538, 206, 15, 494?

You can find a detailed procedure to find GCD of 538, 206, 15, 494 on our page.

3. How to find GCD of 538, 206, 15, 494 on a calculator?

You can find the GCD of 538, 206, 15, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.