GCD of 159, 288, 83, 660 Calculator

Given Input numbers are 159, 288, 83, 660

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 159, 288, 83, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 288, 83, 660 is 1.

Therefore, GCD of numbers 159, 288, 83, 660 is 1

Given Input Data is 159, 288, 83, 660

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

Prime Factorization of 159 is 3 x 53

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

Prime Factorization of 83 is 83

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(159, 288) = 15264

GCD(159, 288) = ( 159 x 288 ) / 15264

GCD(159, 288) = 45792 / 15264

GCD(159, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 159, 288, 83, 660 is 1

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• GCD of 816, 281, 45, 450
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1. What is the GCD of 159, 288, 83, 660?

GCD of 159, 288, 83, 660 is 1

2. Where do I get the detailed procedure to find GCD of 159, 288, 83, 660?

You can find a detailed procedure to find GCD of 159, 288, 83, 660 on our page.

3. How to find GCD of 159, 288, 83, 660 on a calculator?

You can find the GCD of 159, 288, 83, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.