GCD of 321, 366, 861, 412 Calculator

Given Input numbers are 321, 366, 861, 412

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 861

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

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 321, 366, 861, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 366, 861, 412 is 1.

Therefore, GCD of numbers 321, 366, 861, 412 is 1

Given Input Data is 321, 366, 861, 412

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 412 is 2 x 2 x 103

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(321, 366) = 39162

GCD(321, 366) = ( 321 x 366 ) / 39162

GCD(321, 366) = 117486 / 39162

GCD(321, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 861

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

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

GCD(3, 861) = 2583 / 861

GCD(3, 861) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 412

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

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

GCD(3, 412) = 1236 / 1236

GCD(3, 412) = 1

GCD of 321, 366, 861, 412 is 1

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1. What is the GCD of 321, 366, 861, 412?

GCD of 321, 366, 861, 412 is 1

2. Where do I get the detailed procedure to find GCD of 321, 366, 861, 412?

You can find a detailed procedure to find GCD of 321, 366, 861, 412 on our page.

3. How to find GCD of 321, 366, 861, 412 on a calculator?

You can find the GCD of 321, 366, 861, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.