GCD of 369, 261, 812, 166 Calculator

Given Input numbers are 369, 261, 812, 166

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 369, 261, 812, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 261, 812, 166 is 1.

Therefore, GCD of numbers 369, 261, 812, 166 is 1

Given Input Data is 369, 261, 812, 166

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 166 is 2 x 83

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(369, 261) = 10701

GCD(369, 261) = ( 369 x 261 ) / 10701

GCD(369, 261) = 96309 / 10701

GCD(369, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 812

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

LCM(9, 812) = 7308

GCD(9, 812) = ( 9 x 812 ) / 7308

GCD(9, 812) = 7308 / 7308

GCD(9, 812) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 369, 261, 812, 166 is 1

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1. What is the GCD of 369, 261, 812, 166?

GCD of 369, 261, 812, 166 is 1

2. Where do I get the detailed procedure to find GCD of 369, 261, 812, 166?

You can find a detailed procedure to find GCD of 369, 261, 812, 166 on our page.

3. How to find GCD of 369, 261, 812, 166 on a calculator?

You can find the GCD of 369, 261, 812, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.