GCD of 138, 405, 95, 803 Calculator

Given Input numbers are 138, 405, 95, 803

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

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 138, 405, 95, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 405, 95, 803 is 1.

Therefore, GCD of numbers 138, 405, 95, 803 is 1

Given Input Data is 138, 405, 95, 803

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 95 is 5 x 19

Prime Factorization of 803 is 11 x 73

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(138, 405) = 18630

GCD(138, 405) = ( 138 x 405 ) / 18630

GCD(138, 405) = 55890 / 18630

GCD(138, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 95

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

LCM(3, 95) = 285

GCD(3, 95) = ( 3 x 95 ) / 285

GCD(3, 95) = 285 / 285

GCD(3, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 138, 405, 95, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 801, 73, 108
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• GCD of 209, 276, 13, 245
• GCD of 687, 892, 12, 463
• GCD of 638, 951, 18, 218

1. What is the GCD of 138, 405, 95, 803?

GCD of 138, 405, 95, 803 is 1

2. Where do I get the detailed procedure to find GCD of 138, 405, 95, 803?

You can find a detailed procedure to find GCD of 138, 405, 95, 803 on our page.

3. How to find GCD of 138, 405, 95, 803 on a calculator?

You can find the GCD of 138, 405, 95, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.