How to Find GCF of 7281/910, 6173/4121?

GCF of 7281/910, 6173/4121

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 7281/910, 6173/4121 i.e 1/288470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7281/910, 6173/4121.

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 7281/910,6173/4121?

Given fractions are 7281/910,6173/4121

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 7281/910,6173/4121, numerators are 7281,6173

Denominators are 910,4121

The GCF of 7281,6173 is 1 .

LCM of 910,4121 is 288470.

The greatest common factor of 7281/910,6173/4121 = [GCF of 7281,6173]/[LCM of 910,4121]= 1/288470

Therefore, the GCF of 7281/910,6173/4121 is 1/288470.

Greatest Common Factor of 7281,6173

To find the highest common factor of 7281,6173, we have to find the factors of both numbers and list the highest common factor.

The factors of 7281 are 1, 3, 9, 809, 2427, 7281

The factors of 6173 are 1, 6173

The HCF of 7281,6173 is 1.

Lets's calculate GCF of 7281,6173

Greatest Common Factor (GCF) of 7281,6173 By Common Division

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

Greatest Common Factor of 7281,6173 By Matching Biggest Common Factor Method

Now, list down the factors of 7281

1,3,9,809,2427,7281

Now, list down the factors of 6173

1,6173

Greatest Common Factor

We found the factors 7281,6173 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,6173 is 1.

Lets's calculate LCM of 910,4121

Lowest Common Multiple of 910,4121 using Common Division

13	910, 4121
	70, 317

∴ So the LCM of the given numbers is 13 x 70 x 317 = 288470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288470

Therefore, the GCF of Fractions 7281/910,6173/4121 is 1/288470

Least Common Multiple of 910,4121 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 910,4121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,4121) = 13

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

GCF(910,4121) x common factors =13 x 1 = 13

LCM(910,4121) = ( 910 × 4121 ) / 13

LCM(910,4121) = 3750110 / 13

LCM(910,4121) = 288470

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7281/910, 6173/4121

1. What is the HCF of 7281,6173?

The HCF of 7281,6173 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 7281/910, 6173/4121?

Answer: GCF of Numerators as per given numbers 7281/910, 6173/4121 is

GCF of Numerators i.e. for 7281,6173 is 1

LCM of denominators i.e. for 910,4121 is 288470.

Thus, GCF of Fractions is 1/288470.Finally, GCF of Fractions for 7281/910, 6173/4121 is 1/288470.