GCD of 135, 777, 18, 215 Calculator

Given Input numbers are 135, 777, 18, 215

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 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 135, 777, 18, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 777, 18, 215 is 1.

Therefore, GCD of numbers 135, 777, 18, 215 is 1

Given Input Data is 135, 777, 18, 215

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 777 is 3 x 7 x 37

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 215 is 5 x 43

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, 777) = 34965

GCD(135, 777) = ( 135 x 777 ) / 34965

GCD(135, 777) = 104895 / 34965

GCD(135, 777) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 215

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

LCM(3, 215) = 645

GCD(3, 215) = ( 3 x 215 ) / 645

GCD(3, 215) = 645 / 645

GCD(3, 215) = 1

GCD of 135, 777, 18, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 526, 25, 490
• GCD of 607, 988, 86, 210
• GCD of 524, 278, 43, 377
• GCD of 270, 486, 36, 421
• GCD of 274, 370, 36, 479

1. What is the GCD of 135, 777, 18, 215?

GCD of 135, 777, 18, 215 is 1

2. Where do I get the detailed procedure to find GCD of 135, 777, 18, 215?

You can find a detailed procedure to find GCD of 135, 777, 18, 215 on our page.

3. How to find GCD of 135, 777, 18, 215 on a calculator?

You can find the GCD of 135, 777, 18, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.