Greatest Common Factor of 6729/514, 7335/7363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6729/514, 7335/7363

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 6729/514,7335/7363

Given fractions are 6729/514,7335/7363

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 6729,7335

Greatest Common Factor of Numerators i.e. GCF of 6729,7335 is 3 .

LCM of Denominators means LCM of 514,7363 as per the given fractions.

LCM of 514,7363 is 3784582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6729,7335

GCF of Fractions 6729/514,7335/7363 is 3/3784582

3 6729, 7335
2243, 2445

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

Greatest Common Factor of 6729,7335 By Matching Biggest Common Factor Method

Greatest Common Factor of 6729,7335 By Matching Biggest Common Factor Method

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1,3,2243,6729

Factors of 7335

List of positive integer factors of 7335 that divides 7335 without a remainder.

1,3,5,9,15,45,163,489,815,1467,2445,7335

Greatest Common Factor

We found the factors 6729,7335 . The biggest common factor number is the GCF number.
So the greatest common factor 6729,7335 is 3.

Lets's calculate LCM of 514,7363

Given numbers has no common factors except 1. So, there LCM is their product i.e 3784582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3784582

Therefore, the GCF of Fractions 6729/514,7335/7363 is 3/3784582

Least Common Multiple of 514,7363 with GCF Formula

Least Common Multiple of 514,7363 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 514,7363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,7363) = 1

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

GCF(514,7363) x common factors =1 x 1 = 1

LCM(514,7363) = ( 514 × 7363 ) / 1

LCM(514,7363) = 3784582 / 1

LCM(514,7363) = 3784582


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 6729/514, 7335/7363

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 6729/514, 7335/7363?

Answer: GCF of Numerators as per given numbers 6729/514, 7335/7363 is

GCF of Numerators i.e. for 6729,7335 is 3

LCM of denominators i.e. for 514,7363 is 3784582.

Thus, GCF of Fractions is 3/3784582.Finally, GCF of Fractions for 6729/514, 7335/7363 is 3/3784582.