GCD of 206, 207, 114, 213 Calculator

Given Input numbers are 206, 207, 114, 213

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 206, 207, 114, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 207, 114, 213 is 1.

Therefore, GCD of numbers 206, 207, 114, 213 is 1

Given Input Data is 206, 207, 114, 213

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 213 is 3 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(206, 207) = 42642

GCD(206, 207) = ( 206 x 207 ) / 42642

GCD(206, 207) = 42642 / 42642

GCD(206, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 206, 207, 114, 213 is 1

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1. What is the GCD of 206, 207, 114, 213?

GCD of 206, 207, 114, 213 is 1

2. Where do I get the detailed procedure to find GCD of 206, 207, 114, 213?

You can find a detailed procedure to find GCD of 206, 207, 114, 213 on our page.

3. How to find GCD of 206, 207, 114, 213 on a calculator?

You can find the GCD of 206, 207, 114, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.