GCD of 909, 498, 494, 202 Calculator

Given Input numbers are 909, 498, 494, 202

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 202

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

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 909, 498, 494, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 498, 494, 202 is 1.

Therefore, GCD of numbers 909, 498, 494, 202 is 1

Given Input Data is 909, 498, 494, 202

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 202 is 2 x 101

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(909, 498) = 150894

GCD(909, 498) = ( 909 x 498 ) / 150894

GCD(909, 498) = 452682 / 150894

GCD(909, 498) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 494

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

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

GCD(3, 494) = 1482 / 1482

GCD(3, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 909, 498, 494, 202 is 1

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1. What is the GCD of 909, 498, 494, 202?

GCD of 909, 498, 494, 202 is 1

2. Where do I get the detailed procedure to find GCD of 909, 498, 494, 202?

You can find a detailed procedure to find GCD of 909, 498, 494, 202 on our page.

3. How to find GCD of 909, 498, 494, 202 on a calculator?

You can find the GCD of 909, 498, 494, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.