Greatest Common Factor of 288/117, 2112/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/117, 2112/345

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 288/117,2112/345

Given fractions are 288/117,2112/345

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 288,2112

Greatest Common Factor of Numerators i.e. GCF of 288,2112 is 96 .

LCM of Denominators means LCM of 117,345 as per the given fractions.

LCM of 117,345 is 13455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,2112

GCF of Fractions 288/117,2112/345 is 96/13455

2 288, 2112
2 144, 1056
2 72, 528
2 36, 264
2 18, 132
3 9, 66
3, 22

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96

Greatest Common Factor of 288,2112 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,2112 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 2112

List of positive integer factors of 2112 that divides 2112 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112

Greatest Common Factor

We found the factors 288,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 288,2112 is 96.

Lets's calculate LCM of 117,345

3 117, 345
39, 115

∴ So the LCM of the given numbers is 3 x 39 x 115 = 13455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/13455

Therefore, the GCF of Fractions 288/117,2112/345 is 96/13455

Least Common Multiple of 117,345 with GCF Formula

Least Common Multiple of 117,345 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 117,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,345) = 3

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

GCF(117,345) x common factors =3 x 1 = 3

LCM(117,345) = ( 117 × 345 ) / 3

LCM(117,345) = 40365 / 3

LCM(117,345) = 13455


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 288/117, 2112/345

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 288/117, 2112/345?

Answer: GCF of Numerators as per given numbers 288/117, 2112/345 is

GCF of Numerators i.e. for 288,2112 is 96

LCM of denominators i.e. for 117,345 is 13455.

Thus, GCF of Fractions is 96/13455.Finally, GCF of Fractions for 288/117, 2112/345 is 96/13455.