Greatest Common Factor of 43/663, 18/288, 307/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/663, 18/288, 307/936

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 43/663,18/288,307/936

Given fractions are 43/663,18/288,307/936

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 43,18,307

Greatest Common Factor of Numerators i.e. GCF of 43,18,307 is 1 .

LCM of Denominators means LCM of 663,288,936 as per the given fractions.

LCM of 663,288,936 is 63648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,18,307

GCF of Fractions 43/663,18/288,307/936 is 1/63648

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

Greatest Common Factor of 43,18,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,18,307 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 43,18,307 . The biggest common factor number is the GCF number.
So the greatest common factor 43,18,307 is 1.

Lets's calculate LCM of 663,288,936

2 663, 288, 936
2 663, 144, 468
2 663, 72, 234
3 663, 36, 117
3 221, 12, 39
13 221, 4, 13
17, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 17 x 4 x 1 = 63648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63648

Therefore, the GCF of Fractions 43/663,18/288,307/936 is 1/63648

Least Common Multiple of 663,288,936 with GCF Formula

Least Common Multiple of 663,288,936 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 663,288,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,288,936) = 3

common factors(in case of two or more numbers have common factors) = 936

GCF(663,288,936) x common factors =3 x 936 = 2808

LCM(663,288,936) = ( 663 × 288 × 936 ) / 2808

LCM(663,288,936) = 178723584 / 2808

LCM(663,288,936) = 63648


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 43/663, 18/288, 307/936

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 43/663, 18/288, 307/936?

Answer: GCF of Numerators as per given numbers 43/663, 18/288, 307/936 is

GCF of Numerators i.e. for 43,18,307 is 1

LCM of denominators i.e. for 663,288,936 is 63648.

Thus, GCF of Fractions is 1/63648.Finally, GCF of Fractions for 43/663, 18/288, 307/936 is 1/63648.