GCD of 270, 206, 57, 284 Calculator

Given Input numbers are 270, 206, 57, 284

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 206

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

1, 2, 103, 206

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 270, 206, 57, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 206, 57, 284 is 1.

Therefore, GCD of numbers 270, 206, 57, 284 is 1

Given Input Data is 270, 206, 57, 284

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 206 is 2 x 103

Prime Factorization of 57 is 3 x 19

Prime Factorization of 284 is 2 x 2 x 71

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(270, 206) = 27810

GCD(270, 206) = ( 270 x 206 ) / 27810

GCD(270, 206) = 55620 / 27810

GCD(270, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 270, 206, 57, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 958, 37, 191
• GCD of 322, 781, 53, 181
• GCD of 214, 369, 78, 943
• GCD of 459, 910, 25, 970
• GCD of 341, 105, 22, 774

1. What is the GCD of 270, 206, 57, 284?

GCD of 270, 206, 57, 284 is 1

2. Where do I get the detailed procedure to find GCD of 270, 206, 57, 284?

You can find a detailed procedure to find GCD of 270, 206, 57, 284 on our page.

3. How to find GCD of 270, 206, 57, 284 on a calculator?

You can find the GCD of 270, 206, 57, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.