GCD of 655, 465, 15, 135 Calculator

Given Input numbers are 655, 465, 15, 135

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

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

Greatest Common Divisior

We found the divisors of 655, 465, 15, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 465, 15, 135 is 5.

Therefore, GCD of numbers 655, 465, 15, 135 is 5

Given Input Data is 655, 465, 15, 135

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 135 is 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(655, 465) = 60915

GCD(655, 465) = ( 655 x 465 ) / 60915

GCD(655, 465) = 304575 / 60915

GCD(655, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

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

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 135

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

LCM(5, 135) = 135

GCD(5, 135) = ( 5 x 135 ) / 135

GCD(5, 135) = 675 / 135

GCD(5, 135) = 5

GCD of 655, 465, 15, 135 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 615, 32, 401
• GCD of 816, 985, 33, 130
• GCD of 699, 211, 71, 933
• GCD of 889, 877, 91, 448
• GCD of 104, 335, 55, 798

1. What is the GCD of 655, 465, 15, 135?

GCD of 655, 465, 15, 135 is 5

2. Where do I get the detailed procedure to find GCD of 655, 465, 15, 135?

You can find a detailed procedure to find GCD of 655, 465, 15, 135 on our page.

3. How to find GCD of 655, 465, 15, 135 on a calculator?

You can find the GCD of 655, 465, 15, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.