GCD of 303, 144, 827, 390 Calculator

Given Input numbers are 303, 144, 827, 390

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

Divisors of 303

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

1, 3, 101, 303

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 303, 144, 827, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 144, 827, 390 is 1.

Therefore, GCD of numbers 303, 144, 827, 390 is 1

Given Input Data is 303, 144, 827, 390

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 827 is 827

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(303, 144) = 14544

GCD(303, 144) = ( 303 x 144 ) / 14544

GCD(303, 144) = 43632 / 14544

GCD(303, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 303, 144, 827, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 442, 481, 259
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• GCD of 145, 843, 889, 513
• GCD of 373, 860, 261, 609

1. What is the GCD of 303, 144, 827, 390?

GCD of 303, 144, 827, 390 is 1

2. Where do I get the detailed procedure to find GCD of 303, 144, 827, 390?

You can find a detailed procedure to find GCD of 303, 144, 827, 390 on our page.

3. How to find GCD of 303, 144, 827, 390 on a calculator?

You can find the GCD of 303, 144, 827, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.