GCD of 814, 314, 861, 666 Calculator

Given Input numbers are 814, 314, 861, 666

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 814, 314, 861, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 314, 861, 666 is 1.

Therefore, GCD of numbers 814, 314, 861, 666 is 1

Given Input Data is 814, 314, 861, 666

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 314 is 2 x 157

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(814, 314) = 127798

GCD(814, 314) = ( 814 x 314 ) / 127798

GCD(814, 314) = 255596 / 127798

GCD(814, 314) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 814, 314, 861, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 487, 923, 675
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• GCD of 642, 576, 462, 503

1. What is the GCD of 814, 314, 861, 666?

GCD of 814, 314, 861, 666 is 1

2. Where do I get the detailed procedure to find GCD of 814, 314, 861, 666?

You can find a detailed procedure to find GCD of 814, 314, 861, 666 on our page.

3. How to find GCD of 814, 314, 861, 666 on a calculator?

You can find the GCD of 814, 314, 861, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.