Greatest Common Factor of 726/72, 298/6706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/72, 298/6706

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 726/72,298/6706

Given fractions are 726/72,298/6706

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 726,298

Greatest Common Factor of Numerators i.e. GCF of 726,298 is 2 .

LCM of Denominators means LCM of 72,6706 as per the given fractions.

LCM of 72,6706 is 241416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,298

GCF of Fractions 726/72,298/6706 is 2/241416

2 726, 298
363, 149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 726,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,298 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 726,298 . The biggest common factor number is the GCF number.
So the greatest common factor 726,298 is 2.

Lets's calculate LCM of 72,6706

2 72, 6706
36, 3353

∴ So the LCM of the given numbers is 2 x 36 x 3353 = 241416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/241416

Therefore, the GCF of Fractions 726/72,298/6706 is 2/241416

Least Common Multiple of 72,6706 with GCF Formula

Least Common Multiple of 72,6706 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 72,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6706) = 2

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

GCF(72,6706) x common factors =2 x 1 = 2

LCM(72,6706) = ( 72 × 6706 ) / 2

LCM(72,6706) = 482832 / 2

LCM(72,6706) = 241416


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 726/72, 298/6706

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 726/72, 298/6706?

Answer: GCF of Numerators as per given numbers 726/72, 298/6706 is

GCF of Numerators i.e. for 726,298 is 2

LCM of denominators i.e. for 72,6706 is 241416.

Thus, GCF of Fractions is 2/241416.Finally, GCF of Fractions for 726/72, 298/6706 is 2/241416.