GCD of 783, 312, 313, 861 Calculator

Given Input numbers are 783, 312, 313, 861

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 783, 312, 313, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 312, 313, 861 is 1.

Therefore, GCD of numbers 783, 312, 313, 861 is 1

Given Input Data is 783, 312, 313, 861

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 313 is 313

Prime Factorization of 861 is 3 x 7 x 41

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(783, 312) = 81432

GCD(783, 312) = ( 783 x 312 ) / 81432

GCD(783, 312) = 244296 / 81432

GCD(783, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 783, 312, 313, 861 is 1

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1. What is the GCD of 783, 312, 313, 861?

GCD of 783, 312, 313, 861 is 1

2. Where do I get the detailed procedure to find GCD of 783, 312, 313, 861?

You can find a detailed procedure to find GCD of 783, 312, 313, 861 on our page.

3. How to find GCD of 783, 312, 313, 861 on a calculator?

You can find the GCD of 783, 312, 313, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.