GCD of 502, 900, 309, 602 Calculator

Given Input numbers are 502, 900, 309, 602

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 502, 900, 309, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 900, 309, 602 is 1.

Therefore, GCD of numbers 502, 900, 309, 602 is 1

Given Input Data is 502, 900, 309, 602

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 309 is 3 x 103

Prime Factorization of 602 is 2 x 7 x 43

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(502, 900) = 225900

GCD(502, 900) = ( 502 x 900 ) / 225900

GCD(502, 900) = 451800 / 225900

GCD(502, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 502, 900, 309, 602 is 1

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1. What is the GCD of 502, 900, 309, 602?

GCD of 502, 900, 309, 602 is 1

2. Where do I get the detailed procedure to find GCD of 502, 900, 309, 602?

You can find a detailed procedure to find GCD of 502, 900, 309, 602 on our page.

3. How to find GCD of 502, 900, 309, 602 on a calculator?

You can find the GCD of 502, 900, 309, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.