GCD of 678, 399, 348 Calculator

Given Input numbers are 678, 399, 348

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 678, 399, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 399, 348 is 3.

Therefore, GCD of numbers 678, 399, 348 is 3

Given Input Data is 678, 399, 348

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 399 is 3 x 7 x 19

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 399) = 90174

GCD(678, 399) = ( 678 x 399 ) / 90174

GCD(678, 399) = 270522 / 90174

GCD(678, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 348

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

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

GCD(3, 348) = 1044 / 348

GCD(3, 348) = 3

GCD of 678, 399, 348 is 3

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1. What is the GCD of 678, 399, 348?

GCD of 678, 399, 348 is 3

2. Where do I get the detailed procedure to find GCD of 678, 399, 348?

You can find a detailed procedure to find GCD of 678, 399, 348 on our page.

3. How to find GCD of 678, 399, 348 on a calculator?

You can find the GCD of 678, 399, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.