GCD of 678, 382, 297 Calculator

Given Input numbers are 678, 382, 297

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 297

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

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

Greatest Common Divisior

We found the divisors of 678, 382, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 382, 297 is 1.

Therefore, GCD of numbers 678, 382, 297 is 1

Given Input Data is 678, 382, 297

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 382 is 2 x 191

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

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(678, 382) = 129498

GCD(678, 382) = ( 678 x 382 ) / 129498

GCD(678, 382) = 258996 / 129498

GCD(678, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 678, 382, 297 is 1

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1. What is the GCD of 678, 382, 297?

GCD of 678, 382, 297 is 1

2. Where do I get the detailed procedure to find GCD of 678, 382, 297?

You can find a detailed procedure to find GCD of 678, 382, 297 on our page.

3. How to find GCD of 678, 382, 297 on a calculator?

You can find the GCD of 678, 382, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.