GCD of 538, 407, 26, 918 Calculator

Given Input numbers are 538, 407, 26, 918

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 538, 407, 26, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 407, 26, 918 is 1.

Therefore, GCD of numbers 538, 407, 26, 918 is 1

Given Input Data is 538, 407, 26, 918

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 407 is 11 x 37

Prime Factorization of 26 is 2 x 13

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 407) = 218966

GCD(538, 407) = ( 538 x 407 ) / 218966

GCD(538, 407) = 218966 / 218966

GCD(538, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 538, 407, 26, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 882, 97, 952
• GCD of 248, 639, 92, 240
• GCD of 616, 431, 26, 803
• GCD of 324, 396, 38, 100
• GCD of 102, 543, 57, 486

1. What is the GCD of 538, 407, 26, 918?

GCD of 538, 407, 26, 918 is 1

2. Where do I get the detailed procedure to find GCD of 538, 407, 26, 918?

You can find a detailed procedure to find GCD of 538, 407, 26, 918 on our page.

3. How to find GCD of 538, 407, 26, 918 on a calculator?

You can find the GCD of 538, 407, 26, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.