Greatest Common Factor of 6744/502, 3358/4983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6744/502, 3358/4983

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 6744/502,3358/4983

Given fractions are 6744/502,3358/4983

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 6744,3358

Greatest Common Factor of Numerators i.e. GCF of 6744,3358 is 2 .

LCM of Denominators means LCM of 502,4983 as per the given fractions.

LCM of 502,4983 is 2501466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6744,3358

GCF of Fractions 6744/502,3358/4983 is 2/2501466

2 6744, 3358
3372, 1679

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

Greatest Common Factor of 6744,3358 By Matching Biggest Common Factor Method

Greatest Common Factor of 6744,3358 By Matching Biggest Common Factor Method

Factors of 6744

List of positive integer factors of 6744 that divides 6744 without a remainder.

1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1,2,23,46,73,146,1679,3358

Greatest Common Factor

We found the factors 6744,3358 . The biggest common factor number is the GCF number.
So the greatest common factor 6744,3358 is 2.


Lets's calculate LCM of 502,4983

Given numbers has no common factors except 1. So, there LCM is their product i.e 2501466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2501466

Therefore, the GCF of Fractions 6744/502,3358/4983 is 2/2501466

Least Common Multiple of 502,4983 with GCF Formula

Least Common Multiple of 502,4983 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 502,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,4983) = 1

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

GCF(502,4983) x common factors =1 x 1 = 1

LCM(502,4983) = ( 502 × 4983 ) / 1

LCM(502,4983) = 2501466 / 1

LCM(502,4983) = 2501466


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6744/502, 3358/4983

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 6744/502, 3358/4983?

Answer: GCF of Numerators as per given numbers 6744/502, 3358/4983 is

GCF of Numerators i.e. for 6744,3358 is 2

LCM of denominators i.e. for 502,4983 is 2501466.

Thus, GCF of Fractions is 2/2501466.Finally, GCF of Fractions for 6744/502, 3358/4983 is 2/2501466.