GCD of 678, 423, 318, 319 Calculator

Given Input numbers are 678, 423, 318, 319

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 678, 423, 318, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 423, 318, 319 is 1.

Therefore, GCD of numbers 678, 423, 318, 319 is 1

Given Input Data is 678, 423, 318, 319

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 423 is 3 x 3 x 47

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 319 is 11 x 29

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, 423) = 95598

GCD(678, 423) = ( 678 x 423 ) / 95598

GCD(678, 423) = 286794 / 95598

GCD(678, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

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

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 319

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

LCM(3, 319) = 957

GCD(3, 319) = ( 3 x 319 ) / 957

GCD(3, 319) = 957 / 957

GCD(3, 319) = 1

GCD of 678, 423, 318, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 421, 634, 803
• GCD of 690, 420, 470, 414
• GCD of 223, 505, 542, 779
• GCD of 676, 374, 107, 619
• GCD of 983, 659, 397, 384

1. What is the GCD of 678, 423, 318, 319?

GCD of 678, 423, 318, 319 is 1

2. Where do I get the detailed procedure to find GCD of 678, 423, 318, 319?

You can find a detailed procedure to find GCD of 678, 423, 318, 319 on our page.

3. How to find GCD of 678, 423, 318, 319 on a calculator?

You can find the GCD of 678, 423, 318, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.