GCD of 135, 366, 138, 538 Calculator

Given Input numbers are 135, 366, 138, 538

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 135, 366, 138, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 366, 138, 538 is 1.

Therefore, GCD of numbers 135, 366, 138, 538 is 1

Given Input Data is 135, 366, 138, 538

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 538 is 2 x 269

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(135, 366) = 16470

GCD(135, 366) = ( 135 x 366 ) / 16470

GCD(135, 366) = 49410 / 16470

GCD(135, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 138

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

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

GCD(3, 138) = 414 / 138

GCD(3, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

GCD of 135, 366, 138, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 447, 137, 833
• GCD of 440, 550, 193, 111
• GCD of 509, 675, 989, 721
• GCD of 950, 796, 114, 222
• GCD of 385, 241, 359, 314

1. What is the GCD of 135, 366, 138, 538?

GCD of 135, 366, 138, 538 is 1

2. Where do I get the detailed procedure to find GCD of 135, 366, 138, 538?

You can find a detailed procedure to find GCD of 135, 366, 138, 538 on our page.

3. How to find GCD of 135, 366, 138, 538 on a calculator?

You can find the GCD of 135, 366, 138, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.