GCD of 113, 590, 661, 333 Calculator

Given Input numbers are 113, 590, 661, 333

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 113, 590, 661, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 590, 661, 333 is 1.

Therefore, GCD of numbers 113, 590, 661, 333 is 1

Given Input Data is 113, 590, 661, 333

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

Prime Factorization of 113 is 113

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 661 is 661

Prime Factorization of 333 is 3 x 3 x 37

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(113, 590) = 66670

GCD(113, 590) = ( 113 x 590 ) / 66670

GCD(113, 590) = 66670 / 66670

GCD(113, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 113, 590, 661, 333 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 733, 459, 915
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• GCD of 712, 333, 375, 474

1. What is the GCD of 113, 590, 661, 333?

GCD of 113, 590, 661, 333 is 1

2. Where do I get the detailed procedure to find GCD of 113, 590, 661, 333?

You can find a detailed procedure to find GCD of 113, 590, 661, 333 on our page.

3. How to find GCD of 113, 590, 661, 333 on a calculator?

You can find the GCD of 113, 590, 661, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.