Greatest Common Factor of 6783/741, 4671/4302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6783/741, 4671/4302

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 6783/741,4671/4302

Given fractions are 6783/741,4671/4302

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 6783,4671

Greatest Common Factor of Numerators i.e. GCF of 6783,4671 is 3 .

LCM of Denominators means LCM of 741,4302 as per the given fractions.

LCM of 741,4302 is 1062594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6783,4671

GCF of Fractions 6783/741,4671/4302 is 3/1062594

3 6783, 4671
2261, 1557

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6783,4671 By Matching Biggest Common Factor Method

Greatest Common Factor of 6783,4671 By Matching Biggest Common Factor Method

Factors of 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors 6783,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 6783,4671 is 3.

Lets's calculate LCM of 741,4302

3 741, 4302
247, 1434

∴ So the LCM of the given numbers is 3 x 247 x 1434 = 1062594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1062594

Therefore, the GCF of Fractions 6783/741,4671/4302 is 3/1062594

Least Common Multiple of 741,4302 with GCF Formula

Least Common Multiple of 741,4302 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 741,4302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,4302) = 3

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

GCF(741,4302) x common factors =3 x 1 = 3

LCM(741,4302) = ( 741 × 4302 ) / 3

LCM(741,4302) = 3187782 / 3

LCM(741,4302) = 1062594


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 6783/741, 4671/4302

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 6783/741, 4671/4302?

Answer: GCF of Numerators as per given numbers 6783/741, 4671/4302 is

GCF of Numerators i.e. for 6783,4671 is 3

LCM of denominators i.e. for 741,4302 is 1062594.

Thus, GCF of Fractions is 3/1062594.Finally, GCF of Fractions for 6783/741, 4671/4302 is 3/1062594.