GCD of 207, 217, 342, 133 Calculator

Given Input numbers are 207, 217, 342, 133

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

Divisors of 207

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

1, 3, 9, 23, 69, 207

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 207, 217, 342, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 217, 342, 133 is 1.

Therefore, GCD of numbers 207, 217, 342, 133 is 1

Given Input Data is 207, 217, 342, 133

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 217 is 7 x 31

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 133 is 7 x 19

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(207, 217) = 44919

GCD(207, 217) = ( 207 x 217 ) / 44919

GCD(207, 217) = 44919 / 44919

GCD(207, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 207, 217, 342, 133 is 1

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1. What is the GCD of 207, 217, 342, 133?

GCD of 207, 217, 342, 133 is 1

2. Where do I get the detailed procedure to find GCD of 207, 217, 342, 133?

You can find a detailed procedure to find GCD of 207, 217, 342, 133 on our page.

3. How to find GCD of 207, 217, 342, 133 on a calculator?

You can find the GCD of 207, 217, 342, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.