GCD of 789, 398, 249, 784 Calculator

Given Input numbers are 789, 398, 249, 784

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 789, 398, 249, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 398, 249, 784 is 1.

Therefore, GCD of numbers 789, 398, 249, 784 is 1

Given Input Data is 789, 398, 249, 784

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 398 is 2 x 199

Prime Factorization of 249 is 3 x 83

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(789, 398) = 314022

GCD(789, 398) = ( 789 x 398 ) / 314022

GCD(789, 398) = 314022 / 314022

GCD(789, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 789, 398, 249, 784 is 1

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1. What is the GCD of 789, 398, 249, 784?

GCD of 789, 398, 249, 784 is 1

2. Where do I get the detailed procedure to find GCD of 789, 398, 249, 784?

You can find a detailed procedure to find GCD of 789, 398, 249, 784 on our page.

3. How to find GCD of 789, 398, 249, 784 on a calculator?

You can find the GCD of 789, 398, 249, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.