GCD of 54, 261, 660, 159 Calculator

Given Input numbers are 54, 261, 660, 159

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 54, 261, 660, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 261, 660, 159 is 3.

Therefore, GCD of numbers 54, 261, 660, 159 is 3

Given Input Data is 54, 261, 660, 159

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 261 is 3 x 3 x 29

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

Prime Factorization of 159 is 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(54, 261) = 1566

GCD(54, 261) = ( 54 x 261 ) / 1566

GCD(54, 261) = 14094 / 1566

GCD(54, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 660

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

LCM(9, 660) = 1980

GCD(9, 660) = ( 9 x 660 ) / 1980

GCD(9, 660) = 5940 / 1980

GCD(9, 660) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 159

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

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

GCD(3, 159) = 477 / 159

GCD(3, 159) = 3

GCD of 54, 261, 660, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 771, 160, 671
• GCD of 63, 546, 417, 678
• GCD of 60, 768, 904, 355
• GCD of 26, 257, 102, 784
• GCD of 45, 510, 769, 963

1. What is the GCD of 54, 261, 660, 159?

GCD of 54, 261, 660, 159 is 3

2. Where do I get the detailed procedure to find GCD of 54, 261, 660, 159?

You can find a detailed procedure to find GCD of 54, 261, 660, 159 on our page.

3. How to find GCD of 54, 261, 660, 159 on a calculator?

You can find the GCD of 54, 261, 660, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.