How to Find GCF of 8038/339, 4481/8872?

GCF of 8038/339, 4481/8872

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8038/339, 4481/8872 i.e 1/3007608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8038/339, 4481/8872.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8038/339,4481/8872?

Given fractions are 8038/339,4481/8872

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8038/339,4481/8872, numerators are 8038,4481

Denominators are 339,8872

The GCF of 8038,4481 is 1 .

LCM of 339,8872 is 3007608.

The greatest common factor of 8038/339,4481/8872 = [GCF of 8038,4481]/[LCM of 339,8872]= 1/3007608

Therefore, the GCF of 8038/339,4481/8872 is 1/3007608.

Greatest Common Factor of 8038,4481

To find the highest common factor of 8038,4481, we have to find the factors of both numbers and list the highest common factor.

The factors of 8038 are 1, 2, 4019, 8038

The factors of 4481 are 1, 4481

The HCF of 8038,4481 is 1.

Lets's calculate GCF of 8038,4481

Greatest Common Factor (GCF) of 8038,4481 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8038,4481 By Matching Biggest Common Factor Method

Now, list down the factors of 8038

1,2,4019,8038

Now, list down the factors of 4481

1,4481

Greatest Common Factor

We found the factors 8038,4481 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,4481 is 1.

Lets's calculate LCM of 339,8872

Lowest Common Multiple of 339,8872 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3007608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3007608

Therefore, the GCF of Fractions 8038/339,4481/8872 is 1/3007608

Least Common Multiple of 339,8872 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 339,8872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,8872) = 1

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

GCF(339,8872) x common factors =1 x 1 = 1

LCM(339,8872) = ( 339 × 8872 ) / 1

LCM(339,8872) = 3007608 / 1

LCM(339,8872) = 3007608

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8038/339, 4481/8872

1. What is the HCF of 8038,4481?

The HCF of 8038,4481 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 8038/339, 4481/8872?

Answer: GCF of Numerators as per given numbers 8038/339, 4481/8872 is

GCF of Numerators i.e. for 8038,4481 is 1

LCM of denominators i.e. for 339,8872 is 3007608.

Thus, GCF of Fractions is 1/3007608.Finally, GCF of Fractions for 8038/339, 4481/8872 is 1/3007608.