Greatest Common Factor of 7041/432, 7424/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7041/432, 7424/687

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 7041/432,7424/687

Given fractions are 7041/432,7424/687

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 7041,7424

Greatest Common Factor of Numerators i.e. GCF of 7041,7424 is 1 .

LCM of Denominators means LCM of 432,687 as per the given fractions.

LCM of 432,687 is 98928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7041,7424

GCF of Fractions 7041/432,7424/687 is 1/98928

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

Greatest Common Factor of 7041,7424 By Matching Biggest Common Factor Method

Greatest Common Factor of 7041,7424 By Matching Biggest Common Factor Method

Factors of 7041

List of positive integer factors of 7041 that divides 7041 without a remainder.

1,3,2347,7041

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Greatest Common Factor

We found the factors 7041,7424 . The biggest common factor number is the GCF number.
So the greatest common factor 7041,7424 is 1.

Lets's calculate LCM of 432,687

3 432, 687
144, 229

∴ So the LCM of the given numbers is 3 x 144 x 229 = 98928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98928

Therefore, the GCF of Fractions 7041/432,7424/687 is 1/98928

Least Common Multiple of 432,687 with GCF Formula

Least Common Multiple of 432,687 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 432,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,687) = 3

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

GCF(432,687) x common factors =3 x 1 = 3

LCM(432,687) = ( 432 × 687 ) / 3

LCM(432,687) = 296784 / 3

LCM(432,687) = 98928


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 7041/432, 7424/687

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 7041/432, 7424/687?

Answer: GCF of Numerators as per given numbers 7041/432, 7424/687 is

GCF of Numerators i.e. for 7041,7424 is 1

LCM of denominators i.e. for 432,687 is 98928.

Thus, GCF of Fractions is 1/98928.Finally, GCF of Fractions for 7041/432, 7424/687 is 1/98928.