GCD of 165, 289, 35, 230 Calculator

Given Input numbers are 165, 289, 35, 230

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 165, 289, 35, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 289, 35, 230 is 1.

Therefore, GCD of numbers 165, 289, 35, 230 is 1

Given Input Data is 165, 289, 35, 230

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 289 is 17 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 230 is 2 x 5 x 23

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, 289) = 47685

GCD(165, 289) = ( 165 x 289 ) / 47685

GCD(165, 289) = 47685 / 47685

GCD(165, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 165, 289, 35, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 532, 65, 772
• GCD of 172, 594, 95, 328
• GCD of 833, 100, 81, 988
• GCD of 451, 962, 40, 903
• GCD of 997, 412, 55, 776

1. What is the GCD of 165, 289, 35, 230?

GCD of 165, 289, 35, 230 is 1

2. Where do I get the detailed procedure to find GCD of 165, 289, 35, 230?

You can find a detailed procedure to find GCD of 165, 289, 35, 230 on our page.

3. How to find GCD of 165, 289, 35, 230 on a calculator?

You can find the GCD of 165, 289, 35, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.