Greatest Common Factor of 9039/38, 9528/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9039/38, 9528/744

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 9039/38,9528/744

Given fractions are 9039/38,9528/744

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 9039,9528

Greatest Common Factor of Numerators i.e. GCF of 9039,9528 is 3 .

LCM of Denominators means LCM of 38,744 as per the given fractions.

LCM of 38,744 is 14136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9039,9528

GCF of Fractions 9039/38,9528/744 is 3/14136

3 9039, 9528
3013, 3176

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9039,9528 By Matching Biggest Common Factor Method

Greatest Common Factor of 9039,9528 By Matching Biggest Common Factor Method

Factors of 9039

List of positive integer factors of 9039 that divides 9039 without a remainder.

1,3,23,69,131,393,3013,9039

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528

Greatest Common Factor

We found the factors 9039,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,9528 is 3.

Lets's calculate LCM of 38,744

2 38, 744
19, 372

∴ So the LCM of the given numbers is 2 x 19 x 372 = 14136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14136

Therefore, the GCF of Fractions 9039/38,9528/744 is 3/14136

Least Common Multiple of 38,744 with GCF Formula

Least Common Multiple of 38,744 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 38,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,744) = 2

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

GCF(38,744) x common factors =2 x 1 = 2

LCM(38,744) = ( 38 × 744 ) / 2

LCM(38,744) = 28272 / 2

LCM(38,744) = 14136


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 9039/38, 9528/744

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 9039/38, 9528/744?

Answer: GCF of Numerators as per given numbers 9039/38, 9528/744 is

GCF of Numerators i.e. for 9039,9528 is 3

LCM of denominators i.e. for 38,744 is 14136.

Thus, GCF of Fractions is 3/14136.Finally, GCF of Fractions for 9039/38, 9528/744 is 3/14136.