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GCF of 6803/982, 6038/248

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 6803/982, 6038/248 i.e 1/121768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6803/982, 6038/248.

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 6803/982,6038/248?

Given fractions are 6803/982,6038/248

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 6803/982,6038/248, numerators are 6803,6038

Denominators are 982,248

The GCF of 6803,6038 is 1 .

LCM of 982,248 is 121768.

The greatest common factor of 6803/982,6038/248 = [GCF of 6803,6038]/[LCM of 982,248]= 1/121768

Therefore, the GCF of 6803/982,6038/248 is 1/121768.

Greatest Common Factor of 6803,6038

To find the highest common factor of 6803,6038, we have to find the factors of both numbers and list the highest common factor.

The factors of 6803 are 1, 6803

The factors of 6038 are 1, 2, 3019, 6038

The HCF of 6803,6038 is 1.

Lets's calculate GCF of 6803,6038

Greatest Common Factor (GCF) of 6803,6038 By Common Division

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

Greatest Common Factor of 6803,6038 By Matching Biggest Common Factor Method

Greatest Common Factor of 6803,6038 By Matching Biggest Common Factor Method

Now, list down the factors of 6803

:

1,6803

Now, list down the factors of 6038

:

1,2,3019,6038

Greatest Common Factor

We found the factors 6803,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 6803,6038 is 1.

Lets's calculate LCM of 982,248

Lowest Common Multiple of 982,248 using Common Division

2 982, 248
491, 124

∴ So the LCM of the given numbers is 2 x 491 x 124 = 121768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121768

Therefore, the GCF of Fractions 6803/982,6038/248 is 1/121768

Least Common Multiple of 982,248 with GCF Formula

Least Common Multiple of 982,248 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 982,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,248) = 2

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

GCF(982,248) x common factors =2 x 1 = 2

LCM(982,248) = ( 982 × 248 ) / 2

LCM(982,248) = 243536 / 2

LCM(982,248) = 121768


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FAQs on GCF of Fractions of 6803/982, 6038/248

1. What is the HCF of 6803,6038?

The HCF of 6803,6038 is 1

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 6803/982, 6038/248?

Answer: GCF of Numerators as per given numbers 6803/982, 6038/248 is

GCF of Numerators i.e. for 6803,6038 is 1

LCM of denominators i.e. for 982,248 is 121768.

Thus, GCF of Fractions is 1/121768.Finally, GCF of Fractions for 6803/982, 6038/248 is 1/121768.