GCD of 675, 444, 51, 459 Calculator

Given Input numbers are 675, 444, 51, 459

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 675, 444, 51, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 444, 51, 459 is 3.

Therefore, GCD of numbers 675, 444, 51, 459 is 3

Given Input Data is 675, 444, 51, 459

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 51 is 3 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(675, 444) = 99900

GCD(675, 444) = ( 675 x 444 ) / 99900

GCD(675, 444) = 299700 / 99900

GCD(675, 444) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 459

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

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

GCD(3, 459) = 1377 / 459

GCD(3, 459) = 3

GCD of 675, 444, 51, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 584, 77, 242
• GCD of 404, 326, 48, 276
• GCD of 166, 302, 49, 770
• GCD of 249, 396, 10, 728
• GCD of 965, 705, 80, 873

1. What is the GCD of 675, 444, 51, 459?

GCD of 675, 444, 51, 459 is 3

2. Where do I get the detailed procedure to find GCD of 675, 444, 51, 459?

You can find a detailed procedure to find GCD of 675, 444, 51, 459 on our page.

3. How to find GCD of 675, 444, 51, 459 on a calculator?

You can find the GCD of 675, 444, 51, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.