Greatest Common Factor of 9229/39, 1232/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9229/39, 1232/109

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 9229/39,1232/109

Given fractions are 9229/39,1232/109

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 9229,1232

Greatest Common Factor of Numerators i.e. GCF of 9229,1232 is 11 .

LCM of Denominators means LCM of 39,109 as per the given fractions.

LCM of 39,109 is 4251 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9229,1232

GCF of Fractions 9229/39,1232/109 is 11/4251

11 9229, 1232
839, 112

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

Greatest Common Factor of 9229,1232 By Matching Biggest Common Factor Method

Greatest Common Factor of 9229,1232 By Matching Biggest Common Factor Method

Factors of 9229

List of positive integer factors of 9229 that divides 9229 without a remainder.

1,11,839,9229

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors 9229,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 9229,1232 is 11.


Lets's calculate LCM of 39,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 4251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4251

Therefore, the GCF of Fractions 9229/39,1232/109 is 11/4251

Least Common Multiple of 39,109 with GCF Formula

Least Common Multiple of 39,109 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 39,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,109) = 1

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

GCF(39,109) x common factors =1 x 1 = 1

LCM(39,109) = ( 39 × 109 ) / 1

LCM(39,109) = 4251 / 1

LCM(39,109) = 4251


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9229/39, 1232/109

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 9229/39, 1232/109?

Answer: GCF of Numerators as per given numbers 9229/39, 1232/109 is

GCF of Numerators i.e. for 9229,1232 is 11

LCM of denominators i.e. for 39,109 is 4251.

Thus, GCF of Fractions is 11/4251.Finally, GCF of Fractions for 9229/39, 1232/109 is 11/4251.