GCD of 984, 914, 245, 303 Calculator

Given Input numbers are 984, 914, 245, 303

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 303

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

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 984, 914, 245, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 914, 245, 303 is 1.

Therefore, GCD of numbers 984, 914, 245, 303 is 1

Given Input Data is 984, 914, 245, 303

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 914 is 2 x 457

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 303 is 3 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(984, 914) = 449688

GCD(984, 914) = ( 984 x 914 ) / 449688

GCD(984, 914) = 899376 / 449688

GCD(984, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 245

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

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

GCD(2, 245) = 490 / 490

GCD(2, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 984, 914, 245, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 147, 348, 149
• GCD of 201, 516, 655, 273
• GCD of 906, 782, 112, 845
• GCD of 614, 709, 629, 404
• GCD of 263, 679, 132, 465

1. What is the GCD of 984, 914, 245, 303?

GCD of 984, 914, 245, 303 is 1

2. Where do I get the detailed procedure to find GCD of 984, 914, 245, 303?

You can find a detailed procedure to find GCD of 984, 914, 245, 303 on our page.

3. How to find GCD of 984, 914, 245, 303 on a calculator?

You can find the GCD of 984, 914, 245, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.