GCD of 369, 987, 303, 808 Calculator

Given Input numbers are 369, 987, 303, 808

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 369, 987, 303, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 987, 303, 808 is 1.

Therefore, GCD of numbers 369, 987, 303, 808 is 1

Given Input Data is 369, 987, 303, 808

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 303 is 3 x 101

Prime Factorization of 808 is 2 x 2 x 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(369, 987) = 121401

GCD(369, 987) = ( 369 x 987 ) / 121401

GCD(369, 987) = 364203 / 121401

GCD(369, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 303

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

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

GCD(3, 303) = 909 / 303

GCD(3, 303) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 808

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

LCM(3, 808) = 2424

GCD(3, 808) = ( 3 x 808 ) / 2424

GCD(3, 808) = 2424 / 2424

GCD(3, 808) = 1

GCD of 369, 987, 303, 808 is 1

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1. What is the GCD of 369, 987, 303, 808?

GCD of 369, 987, 303, 808 is 1

2. Where do I get the detailed procedure to find GCD of 369, 987, 303, 808?

You can find a detailed procedure to find GCD of 369, 987, 303, 808 on our page.

3. How to find GCD of 369, 987, 303, 808 on a calculator?

You can find the GCD of 369, 987, 303, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.