GCD of 206, 585, 312, 201 Calculator

Given Input numbers are 206, 585, 312, 201

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 206, 585, 312, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 585, 312, 201 is 1.

Therefore, GCD of numbers 206, 585, 312, 201 is 1

Given Input Data is 206, 585, 312, 201

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 201 is 3 x 67

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(206, 585) = 120510

GCD(206, 585) = ( 206 x 585 ) / 120510

GCD(206, 585) = 120510 / 120510

GCD(206, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

GCD of 206, 585, 312, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 673, 986, 154
• GCD of 934, 306, 811, 485
• GCD of 220, 738, 926, 546
• GCD of 312, 721, 657, 768
• GCD of 654, 154, 445, 510

1. What is the GCD of 206, 585, 312, 201?

GCD of 206, 585, 312, 201 is 1

2. Where do I get the detailed procedure to find GCD of 206, 585, 312, 201?

You can find a detailed procedure to find GCD of 206, 585, 312, 201 on our page.

3. How to find GCD of 206, 585, 312, 201 on a calculator?

You can find the GCD of 206, 585, 312, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.