GCD of 390, 144, 608, 728 Calculator

Given Input numbers are 390, 144, 608, 728

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 390, 144, 608, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 144, 608, 728 is 2.

Therefore, GCD of numbers 390, 144, 608, 728 is 2

Given Input Data is 390, 144, 608, 728

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(390, 144) = 9360

GCD(390, 144) = ( 390 x 144 ) / 9360

GCD(390, 144) = 56160 / 9360

GCD(390, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 608

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

LCM(6, 608) = 1824

GCD(6, 608) = ( 6 x 608 ) / 1824

GCD(6, 608) = 3648 / 1824

GCD(6, 608) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 390, 144, 608, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 889, 215, 472
• GCD of 280, 657, 904, 715
• GCD of 226, 614, 386, 508
• GCD of 509, 726, 210, 486
• GCD of 170, 948, 493, 973

1. What is the GCD of 390, 144, 608, 728?

GCD of 390, 144, 608, 728 is 2

2. Where do I get the detailed procedure to find GCD of 390, 144, 608, 728?

You can find a detailed procedure to find GCD of 390, 144, 608, 728 on our page.

3. How to find GCD of 390, 144, 608, 728 on a calculator?

You can find the GCD of 390, 144, 608, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.