GCD of 819, 180, 48, 714 Calculator

Given Input numbers are 819, 180, 48, 714

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 819, 180, 48, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 180, 48, 714 is 3.

Therefore, GCD of numbers 819, 180, 48, 714 is 3

Given Input Data is 819, 180, 48, 714

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 714 is 2 x 3 x 7 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(819, 180) = 16380

GCD(819, 180) = ( 819 x 180 ) / 16380

GCD(819, 180) = 147420 / 16380

GCD(819, 180) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 48

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

LCM(9, 48) = 144

GCD(9, 48) = ( 9 x 48 ) / 144

GCD(9, 48) = 432 / 144

GCD(9, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

GCD of 819, 180, 48, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 191, 88, 165
• GCD of 296, 437, 58, 522
• GCD of 421, 279, 83, 872
• GCD of 746, 899, 63, 377
• GCD of 895, 737, 95, 514

1. What is the GCD of 819, 180, 48, 714?

GCD of 819, 180, 48, 714 is 3

2. Where do I get the detailed procedure to find GCD of 819, 180, 48, 714?

You can find a detailed procedure to find GCD of 819, 180, 48, 714 on our page.

3. How to find GCD of 819, 180, 48, 714 on a calculator?

You can find the GCD of 819, 180, 48, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.