GCD of 672, 636, 28, 789 Calculator

Given Input numbers are 672, 636, 28, 789

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 789

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

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 672, 636, 28, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 636, 28, 789 is 1.

Therefore, GCD of numbers 672, 636, 28, 789 is 1

Given Input Data is 672, 636, 28, 789

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 789 is 3 x 263

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(672, 636) = 35616

GCD(672, 636) = ( 672 x 636 ) / 35616

GCD(672, 636) = 427392 / 35616

GCD(672, 636) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 28

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

LCM(12, 28) = 84

GCD(12, 28) = ( 12 x 28 ) / 84

GCD(12, 28) = 336 / 84

GCD(12, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 789

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

LCM(4, 789) = 3156

GCD(4, 789) = ( 4 x 789 ) / 3156

GCD(4, 789) = 3156 / 3156

GCD(4, 789) = 1

GCD of 672, 636, 28, 789 is 1

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1. What is the GCD of 672, 636, 28, 789?

GCD of 672, 636, 28, 789 is 1

2. Where do I get the detailed procedure to find GCD of 672, 636, 28, 789?

You can find a detailed procedure to find GCD of 672, 636, 28, 789 on our page.

3. How to find GCD of 672, 636, 28, 789 on a calculator?

You can find the GCD of 672, 636, 28, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.