GCD of 448, 785, 28 Calculator

Given Input numbers are 448, 785, 28

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

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 448, 785, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 785, 28 is 1.

Therefore, GCD of numbers 448, 785, 28 is 1

Given Input Data is 448, 785, 28

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

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 28 is 2 x 2 x 7

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(448, 785) = 351680

GCD(448, 785) = ( 448 x 785 ) / 351680

GCD(448, 785) = 351680 / 351680

GCD(448, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

GCD of 448, 785, 28 is 1

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1. What is the GCD of 448, 785, 28?

GCD of 448, 785, 28 is 1

2. Where do I get the detailed procedure to find GCD of 448, 785, 28?

You can find a detailed procedure to find GCD of 448, 785, 28 on our page.

3. How to find GCD of 448, 785, 28 on a calculator?

You can find the GCD of 448, 785, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.