GCD of 788, 910, 448, 309 Calculator

Given Input numbers are 788, 910, 448, 309

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 788, 910, 448, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 910, 448, 309 is 1.

Therefore, GCD of numbers 788, 910, 448, 309 is 1

Given Input Data is 788, 910, 448, 309

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 309 is 3 x 103

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(788, 910) = 358540

GCD(788, 910) = ( 788 x 910 ) / 358540

GCD(788, 910) = 717080 / 358540

GCD(788, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 788, 910, 448, 309 is 1

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1. What is the GCD of 788, 910, 448, 309?

GCD of 788, 910, 448, 309 is 1

2. Where do I get the detailed procedure to find GCD of 788, 910, 448, 309?

You can find a detailed procedure to find GCD of 788, 910, 448, 309 on our page.

3. How to find GCD of 788, 910, 448, 309 on a calculator?

You can find the GCD of 788, 910, 448, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.