GCD of 367, 789, 71, 784 Calculator

Given Input numbers are 367, 789, 71, 784

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 789

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

1, 3, 263, 789

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 367, 789, 71, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 789, 71, 784 is 1.

Therefore, GCD of numbers 367, 789, 71, 784 is 1

Given Input Data is 367, 789, 71, 784

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

Prime Factorization of 367 is 367

Prime Factorization of 789 is 3 x 263

Prime Factorization of 71 is 71

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(367, 789) = 289563

GCD(367, 789) = ( 367 x 789 ) / 289563

GCD(367, 789) = 289563 / 289563

GCD(367, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 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 367, 789, 71, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 613, 11, 405
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• GCD of 329, 901, 92, 477

1. What is the GCD of 367, 789, 71, 784?

GCD of 367, 789, 71, 784 is 1

2. Where do I get the detailed procedure to find GCD of 367, 789, 71, 784?

You can find a detailed procedure to find GCD of 367, 789, 71, 784 on our page.

3. How to find GCD of 367, 789, 71, 784 on a calculator?

You can find the GCD of 367, 789, 71, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.