GCD of 133, 206, 90, 331 Calculator

Given Input numbers are 133, 206, 90, 331

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

Divisors of 133

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

1, 7, 19, 133

Divisors of 206

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

1, 2, 103, 206

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 133, 206, 90, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 206, 90, 331 is 1.

Therefore, GCD of numbers 133, 206, 90, 331 is 1

Given Input Data is 133, 206, 90, 331

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 206 is 2 x 103

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 331 is 331

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(133, 206) = 27398

GCD(133, 206) = ( 133 x 206 ) / 27398

GCD(133, 206) = 27398 / 27398

GCD(133, 206) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 133, 206, 90, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 947, 26, 175
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• GCD of 414, 569, 70, 730

1. What is the GCD of 133, 206, 90, 331?

GCD of 133, 206, 90, 331 is 1

2. Where do I get the detailed procedure to find GCD of 133, 206, 90, 331?

You can find a detailed procedure to find GCD of 133, 206, 90, 331 on our page.

3. How to find GCD of 133, 206, 90, 331 on a calculator?

You can find the GCD of 133, 206, 90, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.