Greatest Common Factor of 399/321, 3208/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 399/321, 3208/714

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 399/321,3208/714

Given fractions are 399/321,3208/714

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 399,3208

Greatest Common Factor of Numerators i.e. GCF of 399,3208 is 1 .

LCM of Denominators means LCM of 321,714 as per the given fractions.

LCM of 321,714 is 76398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 399,3208

GCF of Fractions 399/321,3208/714 is 1/76398

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 399,3208 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,3208 By Matching Biggest Common Factor Method

Factors of 399

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

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

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1,2,4,8,401,802,1604,3208

Greatest Common Factor

We found the factors 399,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 399,3208 is 1.

Lets's calculate LCM of 321,714

3 321, 714
107, 238

∴ So the LCM of the given numbers is 3 x 107 x 238 = 76398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76398

Therefore, the GCF of Fractions 399/321,3208/714 is 1/76398

Least Common Multiple of 321,714 with GCF Formula

Least Common Multiple of 321,714 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 321,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,714) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(321,714) x common factors =3 x 1 = 3

LCM(321,714) = ( 321 × 714 ) / 3

LCM(321,714) = 229194 / 3

LCM(321,714) = 76398


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 399/321, 3208/714

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 399/321, 3208/714?

Answer: GCF of Numerators as per given numbers 399/321, 3208/714 is

GCF of Numerators i.e. for 399,3208 is 1

LCM of denominators i.e. for 321,714 is 76398.

Thus, GCF of Fractions is 1/76398.Finally, GCF of Fractions for 399/321, 3208/714 is 1/76398.