Greatest Common Factor of 726/555, 4282/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/555, 4282/515

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 726/555,4282/515

Given fractions are 726/555,4282/515

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 726,4282

Greatest Common Factor of Numerators i.e. GCF of 726,4282 is 2 .

LCM of Denominators means LCM of 555,515 as per the given fractions.

LCM of 555,515 is 57165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,4282

GCF of Fractions 726/555,4282/515 is 2/57165

2 726, 4282
363, 2141

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

Greatest Common Factor of 726,4282 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,4282 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 4282

List of positive integer factors of 4282 that divides 4282 without a remainder.

1,2,2141,4282

Greatest Common Factor

We found the factors 726,4282 . The biggest common factor number is the GCF number.
So the greatest common factor 726,4282 is 2.

Lets's calculate LCM of 555,515

5 555, 515
111, 103

∴ So the LCM of the given numbers is 5 x 111 x 103 = 57165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57165

Therefore, the GCF of Fractions 726/555,4282/515 is 2/57165

Least Common Multiple of 555,515 with GCF Formula

Least Common Multiple of 555,515 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 555,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,515) = 5

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

GCF(555,515) x common factors =5 x 1 = 5

LCM(555,515) = ( 555 × 515 ) / 5

LCM(555,515) = 285825 / 5

LCM(555,515) = 57165


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 726/555, 4282/515

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 726/555, 4282/515?

Answer: GCF of Numerators as per given numbers 726/555, 4282/515 is

GCF of Numerators i.e. for 726,4282 is 2

LCM of denominators i.e. for 555,515 is 57165.

Thus, GCF of Fractions is 2/57165.Finally, GCF of Fractions for 726/555, 4282/515 is 2/57165.