GCD of 285, 195, 165 Calculator

Given Input numbers are 285, 195, 165

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 285, 195, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 195, 165 is 15.

Therefore, GCD of numbers 285, 195, 165 is 15

Given Input Data is 285, 195, 165

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 165 is 3 x 5 x 11

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(285, 195) = 3705

GCD(285, 195) = ( 285 x 195 ) / 3705

GCD(285, 195) = 55575 / 3705

GCD(285, 195) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 165

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

LCM(15, 165) = 165

GCD(15, 165) = ( 15 x 165 ) / 165

GCD(15, 165) = 2475 / 165

GCD(15, 165) = 15

GCD of 285, 195, 165 is 15

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1. What is the GCD of 285, 195, 165?

GCD of 285, 195, 165 is 15

2. Where do I get the detailed procedure to find GCD of 285, 195, 165?

You can find a detailed procedure to find GCD of 285, 195, 165 on our page.

3. How to find GCD of 285, 195, 165 on a calculator?

You can find the GCD of 285, 195, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.