How to Find GCF of 8287/247, 4468/5829?

GCF of 8287/247, 4468/5829

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 8287/247, 4468/5829 i.e 1/1439763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8287/247, 4468/5829.

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 8287/247,4468/5829?

Given fractions are 8287/247,4468/5829

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 8287/247,4468/5829, numerators are 8287,4468

Denominators are 247,5829

The GCF of 8287,4468 is 1 .

LCM of 247,5829 is 1439763.

The greatest common factor of 8287/247,4468/5829 = [GCF of 8287,4468]/[LCM of 247,5829]= 1/1439763

Therefore, the GCF of 8287/247,4468/5829 is 1/1439763.

Greatest Common Factor of 8287,4468

To find the highest common factor of 8287,4468, we have to find the factors of both numbers and list the highest common factor.

The factors of 8287 are 1, 8287

The factors of 4468 are 1, 2, 4, 1117, 2234, 4468

The HCF of 8287,4468 is 1.

Lets's calculate GCF of 8287,4468

Greatest Common Factor (GCF) of 8287,4468 By Common Division

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

Greatest Common Factor of 8287,4468 By Matching Biggest Common Factor Method

Now, list down the factors of 8287

1,8287

Now, list down the factors of 4468

1,2,4,1117,2234,4468

Greatest Common Factor

We found the factors 8287,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 8287,4468 is 1.

Lets's calculate LCM of 247,5829

Lowest Common Multiple of 247,5829 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1439763

Therefore, the GCF of Fractions 8287/247,4468/5829 is 1/1439763

Least Common Multiple of 247,5829 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 247,5829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,5829) = 1

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

GCF(247,5829) x common factors =1 x 1 = 1

LCM(247,5829) = ( 247 × 5829 ) / 1

LCM(247,5829) = 1439763 / 1

LCM(247,5829) = 1439763

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8287/247, 4468/5829

1. What is the HCF of 8287,4468?

The HCF of 8287,4468 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 8287/247, 4468/5829?

Answer: GCF of Numerators as per given numbers 8287/247, 4468/5829 is

GCF of Numerators i.e. for 8287,4468 is 1

LCM of denominators i.e. for 247,5829 is 1439763.

Thus, GCF of Fractions is 1/1439763.Finally, GCF of Fractions for 8287/247, 4468/5829 is 1/1439763.