GCD of 165, 995, 17, 663 Calculator

Given Input numbers are 165, 995, 17, 663

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

Divisors of 165

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

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 165, 995, 17, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 995, 17, 663 is 1.

Therefore, GCD of numbers 165, 995, 17, 663 is 1

Given Input Data is 165, 995, 17, 663

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 995 is 5 x 199

Prime Factorization of 17 is 17

Prime Factorization of 663 is 3 x 13 x 17

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(165, 995) = 32835

GCD(165, 995) = ( 165 x 995 ) / 32835

GCD(165, 995) = 164175 / 32835

GCD(165, 995) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 17

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

LCM(5, 17) = 85

GCD(5, 17) = ( 5 x 17 ) / 85

GCD(5, 17) = 85 / 85

GCD(5, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 165, 995, 17, 663 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 798, 69, 181
• GCD of 267, 201, 15, 877
• GCD of 988, 994, 41, 112
• GCD of 588, 164, 65, 282
• GCD of 708, 739, 19, 971

1. What is the GCD of 165, 995, 17, 663?

GCD of 165, 995, 17, 663 is 1

2. Where do I get the detailed procedure to find GCD of 165, 995, 17, 663?

You can find a detailed procedure to find GCD of 165, 995, 17, 663 on our page.

3. How to find GCD of 165, 995, 17, 663 on a calculator?

You can find the GCD of 165, 995, 17, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.