Greatest Common Factor of 923/41, 7449/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/41, 7449/139

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 923/41,7449/139

Given fractions are 923/41,7449/139

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 923,7449

Greatest Common Factor of Numerators i.e. GCF of 923,7449 is 13 .

LCM of Denominators means LCM of 41,139 as per the given fractions.

LCM of 41,139 is 5699 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,7449

GCF of Fractions 923/41,7449/139 is 13/5699

13 923, 7449
71, 573

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 923,7449 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,7449 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 7449

List of positive integer factors of 7449 that divides 7449 without a remainder.

1,3,13,39,191,573,2483,7449

Greatest Common Factor

We found the factors 923,7449 . The biggest common factor number is the GCF number.
So the greatest common factor 923,7449 is 13.

Lets's calculate LCM of 41,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 5699

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5699

Therefore, the GCF of Fractions 923/41,7449/139 is 13/5699

Least Common Multiple of 41,139 with GCF Formula

Least Common Multiple of 41,139 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 41,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,139) = 1

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

GCF(41,139) x common factors =1 x 1 = 1

LCM(41,139) = ( 41 × 139 ) / 1

LCM(41,139) = 5699 / 1

LCM(41,139) = 5699


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 923/41, 7449/139

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 923/41, 7449/139?

Answer: GCF of Numerators as per given numbers 923/41, 7449/139 is

GCF of Numerators i.e. for 923,7449 is 13

LCM of denominators i.e. for 41,139 is 5699.

Thus, GCF of Fractions is 13/5699.Finally, GCF of Fractions for 923/41, 7449/139 is 13/5699.