GCD of 135, 417, 54, 814 Calculator

Given Input numbers are 135, 417, 54, 814

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 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 135, 417, 54, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 417, 54, 814 is 1.

Therefore, GCD of numbers 135, 417, 54, 814 is 1

Given Input Data is 135, 417, 54, 814

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 417 is 3 x 139

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 814 is 2 x 11 x 37

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, 417) = 18765

GCD(135, 417) = ( 135 x 417 ) / 18765

GCD(135, 417) = 56295 / 18765

GCD(135, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 814

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

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

GCD(3, 814) = 2442 / 2442

GCD(3, 814) = 1

GCD of 135, 417, 54, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 721, 30, 322
• GCD of 870, 224, 88, 605
• GCD of 222, 408, 34, 988
• GCD of 814, 908, 18, 141
• GCD of 700, 745, 78, 228

1. What is the GCD of 135, 417, 54, 814?

GCD of 135, 417, 54, 814 is 1

2. Where do I get the detailed procedure to find GCD of 135, 417, 54, 814?

You can find a detailed procedure to find GCD of 135, 417, 54, 814 on our page.

3. How to find GCD of 135, 417, 54, 814 on a calculator?

You can find the GCD of 135, 417, 54, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.