GCD of 135, 462, 717 Calculator

Given Input numbers are 135, 462, 717

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 135, 462, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 462, 717 is 3.

Therefore, GCD of numbers 135, 462, 717 is 3

Given Input Data is 135, 462, 717

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 462 is 2 x 3 x 7 x 11

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(135, 462) = 20790

GCD(135, 462) = ( 135 x 462 ) / 20790

GCD(135, 462) = 62370 / 20790

GCD(135, 462) = 3

Step2:

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 135, 462, 717 is 3

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1. What is the GCD of 135, 462, 717?

GCD of 135, 462, 717 is 3

2. Where do I get the detailed procedure to find GCD of 135, 462, 717?

You can find a detailed procedure to find GCD of 135, 462, 717 on our page.

3. How to find GCD of 135, 462, 717 on a calculator?

You can find the GCD of 135, 462, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.