How to Find GCF of 7291/500, 8115/4340?

GCF of 7291/500, 8115/4340

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 7291/500, 8115/4340 i.e 1/108500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7291/500, 8115/4340.

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 7291/500,8115/4340?

Given fractions are 7291/500,8115/4340

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 7291/500,8115/4340, numerators are 7291,8115

Denominators are 500,4340

The GCF of 7291,8115 is 1 .

LCM of 500,4340 is 108500.

The greatest common factor of 7291/500,8115/4340 = [GCF of 7291,8115]/[LCM of 500,4340]= 1/108500

Therefore, the GCF of 7291/500,8115/4340 is 1/108500.

Greatest Common Factor of 7291,8115

To find the highest common factor of 7291,8115, we have to find the factors of both numbers and list the highest common factor.

The factors of 7291 are 1, 23, 317, 7291

The factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115

The HCF of 7291,8115 is 1.

Lets's calculate GCF of 7291,8115

Greatest Common Factor (GCF) of 7291,8115 By Common Division

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

Greatest Common Factor of 7291,8115 By Matching Biggest Common Factor Method

Now, list down the factors of 7291

1,23,317,7291

Now, list down the factors of 8115

1,3,5,15,541,1623,2705,8115

Greatest Common Factor

We found the factors 7291,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 7291,8115 is 1.

Lets's calculate LCM of 500,4340

Lowest Common Multiple of 500,4340 using Common Division

2	500, 4340
2	250, 2170
5	125, 1085
	25, 217

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 217 = 108500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108500

Therefore, the GCF of Fractions 7291/500,8115/4340 is 1/108500

Least Common Multiple of 500,4340 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 500,4340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,4340) = 20

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

GCF(500,4340) x common factors =20 x 1 = 20

LCM(500,4340) = ( 500 × 4340 ) / 20

LCM(500,4340) = 2170000 / 20

LCM(500,4340) = 108500

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7291/500, 8115/4340

1. What is the HCF of 7291,8115?

The HCF of 7291,8115 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 7291/500, 8115/4340?

Answer: GCF of Numerators as per given numbers 7291/500, 8115/4340 is

GCF of Numerators i.e. for 7291,8115 is 1

LCM of denominators i.e. for 500,4340 is 108500.

Thus, GCF of Fractions is 1/108500.Finally, GCF of Fractions for 7291/500, 8115/4340 is 1/108500.