GCD of 366, 764, 873, 106 Calculator

Given Input numbers are 366, 764, 873, 106

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 366, 764, 873, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 764, 873, 106 is 1.

Therefore, GCD of numbers 366, 764, 873, 106 is 1

Given Input Data is 366, 764, 873, 106

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 106 is 2 x 53

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(366, 764) = 139812

GCD(366, 764) = ( 366 x 764 ) / 139812

GCD(366, 764) = 279624 / 139812

GCD(366, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 366, 764, 873, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 927, 103, 364
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• GCD of 191, 679, 545, 378

1. What is the GCD of 366, 764, 873, 106?

GCD of 366, 764, 873, 106 is 1

2. Where do I get the detailed procedure to find GCD of 366, 764, 873, 106?

You can find a detailed procedure to find GCD of 366, 764, 873, 106 on our page.

3. How to find GCD of 366, 764, 873, 106 on a calculator?

You can find the GCD of 366, 764, 873, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.