GCD of 96, 306, 537, 110 Calculator

Given Input numbers are 96, 306, 537, 110

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 96, 306, 537, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 306, 537, 110 is 1.

Therefore, GCD of numbers 96, 306, 537, 110 is 1

Given Input Data is 96, 306, 537, 110

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 110 is 2 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(96, 306) = 4896

GCD(96, 306) = ( 96 x 306 ) / 4896

GCD(96, 306) = 29376 / 4896

GCD(96, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 537

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

LCM(6, 537) = 1074

GCD(6, 537) = ( 6 x 537 ) / 1074

GCD(6, 537) = 3222 / 1074

GCD(6, 537) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 110

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

LCM(3, 110) = 330

GCD(3, 110) = ( 3 x 110 ) / 330

GCD(3, 110) = 330 / 330

GCD(3, 110) = 1

GCD of 96, 306, 537, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 986, 530, 874
• GCD of 10, 767, 112, 990
• GCD of 69, 933, 467, 806
• GCD of 83, 961, 593, 713
• GCD of 84, 816, 995, 258

1. What is the GCD of 96, 306, 537, 110?

GCD of 96, 306, 537, 110 is 1

2. Where do I get the detailed procedure to find GCD of 96, 306, 537, 110?

You can find a detailed procedure to find GCD of 96, 306, 537, 110 on our page.

3. How to find GCD of 96, 306, 537, 110 on a calculator?

You can find the GCD of 96, 306, 537, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.