GCD of 159, 342, 660, 272 Calculator

Given Input numbers are 159, 342, 660, 272

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 159, 342, 660, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 342, 660, 272 is 1.

Therefore, GCD of numbers 159, 342, 660, 272 is 1

Given Input Data is 159, 342, 660, 272

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 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(159, 342) = 18126

GCD(159, 342) = ( 159 x 342 ) / 18126

GCD(159, 342) = 54378 / 18126

GCD(159, 342) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 660

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

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

GCD(3, 660) = 1980 / 660

GCD(3, 660) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 272

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

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

GCD(3, 272) = 816 / 816

GCD(3, 272) = 1

GCD of 159, 342, 660, 272 is 1

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1. What is the GCD of 159, 342, 660, 272?

GCD of 159, 342, 660, 272 is 1

2. Where do I get the detailed procedure to find GCD of 159, 342, 660, 272?

You can find a detailed procedure to find GCD of 159, 342, 660, 272 on our page.

3. How to find GCD of 159, 342, 660, 272 on a calculator?

You can find the GCD of 159, 342, 660, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.