GCD of 297, 318, 73, 782 Calculator

Given Input numbers are 297, 318, 73, 782

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 297, 318, 73, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 318, 73, 782 is 1.

Therefore, GCD of numbers 297, 318, 73, 782 is 1

Given Input Data is 297, 318, 73, 782

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 73 is 73

Prime Factorization of 782 is 2 x 17 x 23

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(297, 318) = 31482

GCD(297, 318) = ( 297 x 318 ) / 31482

GCD(297, 318) = 94446 / 31482

GCD(297, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 297, 318, 73, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 398, 59, 490
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• GCD of 365, 168, 96, 703

1. What is the GCD of 297, 318, 73, 782?

GCD of 297, 318, 73, 782 is 1

2. Where do I get the detailed procedure to find GCD of 297, 318, 73, 782?

You can find a detailed procedure to find GCD of 297, 318, 73, 782 on our page.

3. How to find GCD of 297, 318, 73, 782 on a calculator?

You can find the GCD of 297, 318, 73, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.