Greatest Common Factor of 132/94, 3113/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/94, 3113/288

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 132/94,3113/288

Given fractions are 132/94,3113/288

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 132,3113

Greatest Common Factor of Numerators i.e. GCF of 132,3113 is 11 .

LCM of Denominators means LCM of 94,288 as per the given fractions.

LCM of 94,288 is 13536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,3113

GCF of Fractions 132/94,3113/288 is 11/13536

11 132, 3113
12, 283

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 132,3113 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,3113 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 3113

List of positive integer factors of 3113 that divides 3113 without a remainder.

1,11,283,3113

Greatest Common Factor

We found the factors 132,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 132,3113 is 11.

Lets's calculate LCM of 94,288

2 94, 288
47, 144

∴ So the LCM of the given numbers is 2 x 47 x 144 = 13536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/13536

Therefore, the GCF of Fractions 132/94,3113/288 is 11/13536

Least Common Multiple of 94,288 with GCF Formula

Least Common Multiple of 94,288 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 94,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,288) = 2

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

GCF(94,288) x common factors =2 x 1 = 2

LCM(94,288) = ( 94 × 288 ) / 2

LCM(94,288) = 27072 / 2

LCM(94,288) = 13536


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 132/94, 3113/288

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 132/94, 3113/288?

Answer: GCF of Numerators as per given numbers 132/94, 3113/288 is

GCF of Numerators i.e. for 132,3113 is 11

LCM of denominators i.e. for 94,288 is 13536.

Thus, GCF of Fractions is 11/13536.Finally, GCF of Fractions for 132/94, 3113/288 is 11/13536.