GCD of 165, 728, 288, 695 Calculator

Given Input numbers are 165, 728, 288, 695

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 165, 728, 288, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 728, 288, 695 is 1.

Therefore, GCD of numbers 165, 728, 288, 695 is 1

Given Input Data is 165, 728, 288, 695

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 695 is 5 x 139

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, 728) = 120120

GCD(165, 728) = ( 165 x 728 ) / 120120

GCD(165, 728) = 120120 / 120120

GCD(165, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 165, 728, 288, 695 is 1

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1. What is the GCD of 165, 728, 288, 695?

GCD of 165, 728, 288, 695 is 1

2. Where do I get the detailed procedure to find GCD of 165, 728, 288, 695?

You can find a detailed procedure to find GCD of 165, 728, 288, 695 on our page.

3. How to find GCD of 165, 728, 288, 695 on a calculator?

You can find the GCD of 165, 728, 288, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.