GCD of 480, 644, 19, 788 Calculator

Given Input numbers are 480, 644, 19, 788

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 480, 644, 19, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 644, 19, 788 is 1.

Therefore, GCD of numbers 480, 644, 19, 788 is 1

Given Input Data is 480, 644, 19, 788

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 19 is 19

Prime Factorization of 788 is 2 x 2 x 197

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(480, 644) = 77280

GCD(480, 644) = ( 480 x 644 ) / 77280

GCD(480, 644) = 309120 / 77280

GCD(480, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 480, 644, 19, 788 is 1

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1. What is the GCD of 480, 644, 19, 788?

GCD of 480, 644, 19, 788 is 1

2. Where do I get the detailed procedure to find GCD of 480, 644, 19, 788?

You can find a detailed procedure to find GCD of 480, 644, 19, 788 on our page.

3. How to find GCD of 480, 644, 19, 788 on a calculator?

You can find the GCD of 480, 644, 19, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.