GCD of 27, 699, 915, 717 Calculator

Given Input numbers are 27, 699, 915, 717

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 27, 699, 915, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 699, 915, 717 is 3.

Therefore, GCD of numbers 27, 699, 915, 717 is 3

Given Input Data is 27, 699, 915, 717

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 699 is 3 x 233

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 717 is 3 x 239

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(27, 699) = 6291

GCD(27, 699) = ( 27 x 699 ) / 6291

GCD(27, 699) = 18873 / 6291

GCD(27, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 915

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

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

GCD(3, 915) = 2745 / 915

GCD(3, 915) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

GCD of 27, 699, 915, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 518, 430, 569
• GCD of 27, 773, 194, 535
• GCD of 68, 737, 591, 105
• GCD of 79, 690, 253, 952
• GCD of 26, 255, 743, 303

1. What is the GCD of 27, 699, 915, 717?

GCD of 27, 699, 915, 717 is 3

2. Where do I get the detailed procedure to find GCD of 27, 699, 915, 717?

You can find a detailed procedure to find GCD of 27, 699, 915, 717 on our page.

3. How to find GCD of 27, 699, 915, 717 on a calculator?

You can find the GCD of 27, 699, 915, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.