GCD of 789, 423, 891, 314 Calculator

Given Input numbers are 789, 423, 891, 314

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 789, 423, 891, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 423, 891, 314 is 1.

Therefore, GCD of numbers 789, 423, 891, 314 is 1

Given Input Data is 789, 423, 891, 314

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 314 is 2 x 157

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, 423) = 111249

GCD(789, 423) = ( 789 x 423 ) / 111249

GCD(789, 423) = 333747 / 111249

GCD(789, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 891

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

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

GCD(3, 891) = 2673 / 891

GCD(3, 891) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

GCD of 789, 423, 891, 314 is 1

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1. What is the GCD of 789, 423, 891, 314?

GCD of 789, 423, 891, 314 is 1

2. Where do I get the detailed procedure to find GCD of 789, 423, 891, 314?

You can find a detailed procedure to find GCD of 789, 423, 891, 314 on our page.

3. How to find GCD of 789, 423, 891, 314 on a calculator?

You can find the GCD of 789, 423, 891, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.