GCD of 861, 879, 381, 313 Calculator

Given Input numbers are 861, 879, 381, 313

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

Divisors of 861

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

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 861, 879, 381, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 879, 381, 313 is 1.

Therefore, GCD of numbers 861, 879, 381, 313 is 1

Given Input Data is 861, 879, 381, 313

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 879 is 3 x 293

Prime Factorization of 381 is 3 x 127

Prime Factorization of 313 is 313

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(861, 879) = 252273

GCD(861, 879) = ( 861 x 879 ) / 252273

GCD(861, 879) = 756819 / 252273

GCD(861, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

Step3:

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

GCD of 861, 879, 381, 313 is 1

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1. What is the GCD of 861, 879, 381, 313?

GCD of 861, 879, 381, 313 is 1

2. Where do I get the detailed procedure to find GCD of 861, 879, 381, 313?

You can find a detailed procedure to find GCD of 861, 879, 381, 313 on our page.

3. How to find GCD of 861, 879, 381, 313 on a calculator?

You can find the GCD of 861, 879, 381, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.