GCD of 930, 214, 861 Calculator

Given Input numbers are 930, 214, 861

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 930, 214, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 214, 861 is 1.

Therefore, GCD of numbers 930, 214, 861 is 1

Given Input Data is 930, 214, 861

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 214 is 2 x 107

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(930, 214) = 99510

GCD(930, 214) = ( 930 x 214 ) / 99510

GCD(930, 214) = 199020 / 99510

GCD(930, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

GCD of 930, 214, 861 is 1

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1. What is the GCD of 930, 214, 861?

GCD of 930, 214, 861 is 1

2. Where do I get the detailed procedure to find GCD of 930, 214, 861?

You can find a detailed procedure to find GCD of 930, 214, 861 on our page.

3. How to find GCD of 930, 214, 861 on a calculator?

You can find the GCD of 930, 214, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.