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GCF of 6802/538, 3358/2744

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 6802/538, 3358/2744 i.e 2/738136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6802/538, 3358/2744.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6802/538,3358/2744?

Given fractions are 6802/538,3358/2744

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6802/538,3358/2744, numerators are 6802,3358

Denominators are 538,2744

The GCF of 6802,3358 is 2 .

LCM of 538,2744 is 738136.

The greatest common factor of 6802/538,3358/2744 = [GCF of 6802,3358]/[LCM of 538,2744]= 2/738136

Therefore, the GCF of 6802/538,3358/2744 is 2/738136.

Greatest Common Factor of 6802,3358

To find the highest common factor of 6802,3358, we have to find the factors of both numbers and list the highest common factor.

The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802

The factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358

The HCF of 6802,3358 is 2.

Lets's calculate GCF of 6802,3358

Greatest Common Factor (GCF) of 6802,3358 By Common Division

2 6802, 3358
3401, 1679

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

Greatest Common Factor of 6802,3358 By Matching Biggest Common Factor Method

Greatest Common Factor of 6802,3358 By Matching Biggest Common Factor Method

Now, list down the factors of 6802

:

1,2,19,38,179,358,3401,6802

Now, list down the factors of 3358

:

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

Greatest Common Factor

We found the factors 6802,3358 . The biggest common factor number is the GCF number.
So the greatest common factor 6802,3358 is 2.


Lets's calculate LCM of 538,2744

Lowest Common Multiple of 538,2744 using Common Division

2 538, 2744
269, 1372

∴ So the LCM of the given numbers is 2 x 269 x 1372 = 738136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/738136

Therefore, the GCF of Fractions 6802/538,3358/2744 is 2/738136

Least Common Multiple of 538,2744 with GCF Formula

Least Common Multiple of 538,2744 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 538,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,2744) = 2

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

GCF(538,2744) x common factors =2 x 1 = 2

LCM(538,2744) = ( 538 × 2744 ) / 2

LCM(538,2744) = 1476272 / 2

LCM(538,2744) = 738136


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6802/538, 3358/2744

1. What is the HCF of 6802,3358?

The HCF of 6802,3358 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6802/538, 3358/2744?

Answer: GCF of Numerators as per given numbers 6802/538, 3358/2744 is

GCF of Numerators i.e. for 6802,3358 is 2

LCM of denominators i.e. for 538,2744 is 738136.

Thus, GCF of Fractions is 2/738136.Finally, GCF of Fractions for 6802/538, 3358/2744 is 2/738136.