GCD of 202, 590, 484, 314 Calculator

Given Input numbers are 202, 590, 484, 314

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 202, 590, 484, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 590, 484, 314 is 2.

Therefore, GCD of numbers 202, 590, 484, 314 is 2

Given Input Data is 202, 590, 484, 314

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(202, 590) = 59590

GCD(202, 590) = ( 202 x 590 ) / 59590

GCD(202, 590) = 119180 / 59590

GCD(202, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 202, 590, 484, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 330, 643, 885
• GCD of 772, 547, 295, 337
• GCD of 935, 621, 604, 890
• GCD of 610, 538, 160, 259
• GCD of 188, 508, 967, 196

1. What is the GCD of 202, 590, 484, 314?

GCD of 202, 590, 484, 314 is 2

2. Where do I get the detailed procedure to find GCD of 202, 590, 484, 314?

You can find a detailed procedure to find GCD of 202, 590, 484, 314 on our page.

3. How to find GCD of 202, 590, 484, 314 on a calculator?

You can find the GCD of 202, 590, 484, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.