GCD of 110, 612, 75, 825 Calculator

Given Input numbers are 110, 612, 75, 825

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

Divisors of 110

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

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 110, 612, 75, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 612, 75, 825 is 1.

Therefore, GCD of numbers 110, 612, 75, 825 is 1

Given Input Data is 110, 612, 75, 825

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 825 is 3 x 5 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(110, 612) = 33660

GCD(110, 612) = ( 110 x 612 ) / 33660

GCD(110, 612) = 67320 / 33660

GCD(110, 612) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 110, 612, 75, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 421, 32, 566
• GCD of 236, 448, 26, 286
• GCD of 866, 753, 78, 728
• GCD of 459, 212, 53, 926
• GCD of 148, 723, 76, 896

1. What is the GCD of 110, 612, 75, 825?

GCD of 110, 612, 75, 825 is 1

2. Where do I get the detailed procedure to find GCD of 110, 612, 75, 825?

You can find a detailed procedure to find GCD of 110, 612, 75, 825 on our page.

3. How to find GCD of 110, 612, 75, 825 on a calculator?

You can find the GCD of 110, 612, 75, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.