GCD of 180, 537, 879, 444 Calculator

Given Input numbers are 180, 537, 879, 444

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 537

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

1, 3, 179, 537

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

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

Greatest Common Divisior

We found the divisors of 180, 537, 879, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 537, 879, 444 is 3.

Therefore, GCD of numbers 180, 537, 879, 444 is 3

Given Input Data is 180, 537, 879, 444

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 537 is 3 x 179

Prime Factorization of 879 is 3 x 293

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

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(180, 537) = 32220

GCD(180, 537) = ( 180 x 537 ) / 32220

GCD(180, 537) = 96660 / 32220

GCD(180, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 879

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

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

GCD(3, 879) = 2637 / 879

GCD(3, 879) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 444

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

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

GCD(3, 444) = 1332 / 444

GCD(3, 444) = 3

GCD of 180, 537, 879, 444 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 591, 506, 909
• GCD of 114, 579, 737, 268
• GCD of 295, 323, 633, 193
• GCD of 513, 395, 709, 421
• GCD of 865, 550, 652, 748

1. What is the GCD of 180, 537, 879, 444?

GCD of 180, 537, 879, 444 is 3

2. Where do I get the detailed procedure to find GCD of 180, 537, 879, 444?

You can find a detailed procedure to find GCD of 180, 537, 879, 444 on our page.

3. How to find GCD of 180, 537, 879, 444 on a calculator?

You can find the GCD of 180, 537, 879, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.