GCD of 538, 306, 76, 660 Calculator

Given Input numbers are 538, 306, 76, 660

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 538, 306, 76, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 306, 76, 660 is 2.

Therefore, GCD of numbers 538, 306, 76, 660 is 2

Given Input Data is 538, 306, 76, 660

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 76 is 2 x 2 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(538, 306) = 82314

GCD(538, 306) = ( 538 x 306 ) / 82314

GCD(538, 306) = 164628 / 82314

GCD(538, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 538, 306, 76, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 224, 33, 655
• GCD of 945, 255, 15, 643
• GCD of 812, 964, 60, 203
• GCD of 104, 750, 36, 313
• GCD of 543, 810, 80, 618

1. What is the GCD of 538, 306, 76, 660?

GCD of 538, 306, 76, 660 is 2

2. Where do I get the detailed procedure to find GCD of 538, 306, 76, 660?

You can find a detailed procedure to find GCD of 538, 306, 76, 660 on our page.

3. How to find GCD of 538, 306, 76, 660 on a calculator?

You can find the GCD of 538, 306, 76, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.