Greatest Common Factor of 4038/69, 9264/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4038/69, 9264/739

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 4038/69,9264/739

Given fractions are 4038/69,9264/739

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 4038,9264

Greatest Common Factor of Numerators i.e. GCF of 4038,9264 is 6 .

LCM of Denominators means LCM of 69,739 as per the given fractions.

LCM of 69,739 is 50991 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4038,9264

GCF of Fractions 4038/69,9264/739 is 6/50991

2 4038, 9264
3 2019, 4632
673, 1544

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4038,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 4038,9264 By Matching Biggest Common Factor Method

Factors of 4038

List of positive integer factors of 4038 that divides 4038 without a remainder.

1,2,3,6,673,1346,2019,4038

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 4038,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 4038,9264 is 6.

Lets's calculate LCM of 69,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 50991

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/50991

Therefore, the GCF of Fractions 4038/69,9264/739 is 6/50991

Least Common Multiple of 69,739 with GCF Formula

Least Common Multiple of 69,739 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 69,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,739) = 1

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

GCF(69,739) x common factors =1 x 1 = 1

LCM(69,739) = ( 69 × 739 ) / 1

LCM(69,739) = 50991 / 1

LCM(69,739) = 50991


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 4038/69, 9264/739

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 4038/69, 9264/739?

Answer: GCF of Numerators as per given numbers 4038/69, 9264/739 is

GCF of Numerators i.e. for 4038,9264 is 6

LCM of denominators i.e. for 69,739 is 50991.

Thus, GCF of Fractions is 6/50991.Finally, GCF of Fractions for 4038/69, 9264/739 is 6/50991.