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GCF of 6777/940, 8681/3375

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 6777/940, 8681/3375 i.e 1/634500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6777/940, 8681/3375.

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 6777/940,8681/3375?

Given fractions are 6777/940,8681/3375

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 6777/940,8681/3375, numerators are 6777,8681

Denominators are 940,3375

The GCF of 6777,8681 is 1 .

LCM of 940,3375 is 634500.

The greatest common factor of 6777/940,8681/3375 = [GCF of 6777,8681]/[LCM of 940,3375]= 1/634500

Therefore, the GCF of 6777/940,8681/3375 is 1/634500.

Greatest Common Factor of 6777,8681

To find the highest common factor of 6777,8681, we have to find the factors of both numbers and list the highest common factor.

The factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777

The factors of 8681 are 1, 8681

The HCF of 6777,8681 is 1.

Lets's calculate GCF of 6777,8681

Greatest Common Factor (GCF) of 6777,8681 By Common Division

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

Greatest Common Factor of 6777,8681 By Matching Biggest Common Factor Method

Greatest Common Factor of 6777,8681 By Matching Biggest Common Factor Method

Now, list down the factors of 6777

:

1,3,9,27,251,753,2259,6777

Now, list down the factors of 8681

:

1,8681

Greatest Common Factor

We found the factors 6777,8681 . The biggest common factor number is the GCF number.
So the greatest common factor 6777,8681 is 1.

Lets's calculate LCM of 940,3375

Lowest Common Multiple of 940,3375 using Common Division

5 940, 3375
188, 675

∴ So the LCM of the given numbers is 5 x 188 x 675 = 634500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634500

Therefore, the GCF of Fractions 6777/940,8681/3375 is 1/634500

Least Common Multiple of 940,3375 with GCF Formula

Least Common Multiple of 940,3375 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 940,3375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,3375) = 5

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

GCF(940,3375) x common factors =5 x 1 = 5

LCM(940,3375) = ( 940 × 3375 ) / 5

LCM(940,3375) = 3172500 / 5

LCM(940,3375) = 634500


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6777/940, 8681/3375

1. What is the HCF of 6777,8681?

The HCF of 6777,8681 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 6777/940, 8681/3375?

Answer: GCF of Numerators as per given numbers 6777/940, 8681/3375 is

GCF of Numerators i.e. for 6777,8681 is 1

LCM of denominators i.e. for 940,3375 is 634500.

Thus, GCF of Fractions is 1/634500.Finally, GCF of Fractions for 6777/940, 8681/3375 is 1/634500.