GCD of 789, 300, 86, 383 Calculator

Given Input numbers are 789, 300, 86, 383

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 789, 300, 86, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 300, 86, 383 is 1.

Therefore, GCD of numbers 789, 300, 86, 383 is 1

Given Input Data is 789, 300, 86, 383

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 383 is 383

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, 300) = 78900

GCD(789, 300) = ( 789 x 300 ) / 78900

GCD(789, 300) = 236700 / 78900

GCD(789, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 789, 300, 86, 383 is 1

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• GCD of 797, 878, 98, 462
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1. What is the GCD of 789, 300, 86, 383?

GCD of 789, 300, 86, 383 is 1

2. Where do I get the detailed procedure to find GCD of 789, 300, 86, 383?

You can find a detailed procedure to find GCD of 789, 300, 86, 383 on our page.

3. How to find GCD of 789, 300, 86, 383 on a calculator?

You can find the GCD of 789, 300, 86, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.