Greatest Common Factor of 381/108, 344/273, 310/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/108, 344/273, 310/663

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 381/108,344/273,310/663

Given fractions are 381/108,344/273,310/663

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 381,344,310

Greatest Common Factor of Numerators i.e. GCF of 381,344,310 is 1 .

LCM of Denominators means LCM of 108,273,663 as per the given fractions.

LCM of 108,273,663 is 167076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,344,310

GCF of Fractions 381/108,344/273,310/663 is 1/167076

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

Greatest Common Factor of 381,344,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,344,310 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 381,344,310 . The biggest common factor number is the GCF number.
So the greatest common factor 381,344,310 is 1.

Lets's calculate LCM of 108,273,663

3 108, 273, 663
13 36, 91, 221
36, 7, 17

∴ So the LCM of the given numbers is 3 x 13 x 36 x 7 x 17 = 167076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167076

Therefore, the GCF of Fractions 381/108,344/273,310/663 is 1/167076

Least Common Multiple of 108,273,663 with GCF Formula

Least Common Multiple of 108,273,663 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 108,273,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,273,663) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(108,273,663) x common factors =3 x 39 = 117

LCM(108,273,663) = ( 108 × 273 × 663 ) / 117

LCM(108,273,663) = 19547892 / 117

LCM(108,273,663) = 167076


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 381/108, 344/273, 310/663

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 381/108, 344/273, 310/663?

Answer: GCF of Numerators as per given numbers 381/108, 344/273, 310/663 is

GCF of Numerators i.e. for 381,344,310 is 1

LCM of denominators i.e. for 108,273,663 is 167076.

Thus, GCF of Fractions is 1/167076.Finally, GCF of Fractions for 381/108, 344/273, 310/663 is 1/167076.