GCD of 128, 789, 820, 440 Calculator

Given Input numbers are 128, 789, 820, 440

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 128, 789, 820, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 789, 820, 440 is 1.

Therefore, GCD of numbers 128, 789, 820, 440 is 1

Given Input Data is 128, 789, 820, 440

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 789 is 3 x 263

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(128, 789) = 100992

GCD(128, 789) = ( 128 x 789 ) / 100992

GCD(128, 789) = 100992 / 100992

GCD(128, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 128, 789, 820, 440 is 1

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1. What is the GCD of 128, 789, 820, 440?

GCD of 128, 789, 820, 440 is 1

2. Where do I get the detailed procedure to find GCD of 128, 789, 820, 440?

You can find a detailed procedure to find GCD of 128, 789, 820, 440 on our page.

3. How to find GCD of 128, 789, 820, 440 on a calculator?

You can find the GCD of 128, 789, 820, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.