GCD of 789, 648, 683, 640 Calculator

Given Input numbers are 789, 648, 683, 640

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

Divisors of 789

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

1, 3, 263, 789

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 789, 648, 683, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 648, 683, 640 is 1.

Therefore, GCD of numbers 789, 648, 683, 640 is 1

Given Input Data is 789, 648, 683, 640

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 683 is 683

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(789, 648) = 170424

GCD(789, 648) = ( 789 x 648 ) / 170424

GCD(789, 648) = 511272 / 170424

GCD(789, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 683

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

LCM(3, 683) = 2049

GCD(3, 683) = ( 3 x 683 ) / 2049

GCD(3, 683) = 2049 / 2049

GCD(3, 683) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 789, 648, 683, 640 is 1

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1. What is the GCD of 789, 648, 683, 640?

GCD of 789, 648, 683, 640 is 1

2. Where do I get the detailed procedure to find GCD of 789, 648, 683, 640?

You can find a detailed procedure to find GCD of 789, 648, 683, 640 on our page.

3. How to find GCD of 789, 648, 683, 640 on a calculator?

You can find the GCD of 789, 648, 683, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.