How to Find GCF of 3061/806, 7294/7881?

GCF of 3061/806, 7294/7881

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 3061/806, 7294/7881 i.e 1/6352086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3061/806, 7294/7881.

Enter two or more fractions separated by "commas"

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

What is the GCF of 3061/806,7294/7881?

Given fractions are 3061/806,7294/7881

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 3061/806,7294/7881, numerators are 3061,7294

Denominators are 806,7881

The GCF of 3061,7294 is 1 .

LCM of 806,7881 is 6352086.

The greatest common factor of 3061/806,7294/7881 = [GCF of 3061,7294]/[LCM of 806,7881]= 1/6352086

Therefore, the GCF of 3061/806,7294/7881 is 1/6352086.

Greatest Common Factor of 3061,7294

To find the highest common factor of 3061,7294, we have to find the factors of both numbers and list the highest common factor.

The factors of 3061 are 1, 3061

The factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294

The HCF of 3061,7294 is 1.

Lets's calculate GCF of 3061,7294

Greatest Common Factor (GCF) of 3061,7294 By Common Division

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

Greatest Common Factor of 3061,7294 By Matching Biggest Common Factor Method

Now, list down the factors of 3061

1,3061

Now, list down the factors of 7294

1,2,7,14,521,1042,3647,7294

Greatest Common Factor

We found the factors 3061,7294 . The biggest common factor number is the GCF number.
So the greatest common factor 3061,7294 is 1.

Lets's calculate LCM of 806,7881

Lowest Common Multiple of 806,7881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6352086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6352086

Therefore, the GCF of Fractions 3061/806,7294/7881 is 1/6352086

Least Common Multiple of 806,7881 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 806,7881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,7881) = 1

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

GCF(806,7881) x common factors =1 x 1 = 1

LCM(806,7881) = ( 806 × 7881 ) / 1

LCM(806,7881) = 6352086 / 1

LCM(806,7881) = 6352086

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FAQs on GCF of Fractions of 3061/806, 7294/7881

1. What is the HCF of 3061,7294?

The HCF of 3061,7294 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 3061/806, 7294/7881?

Answer: GCF of Numerators as per given numbers 3061/806, 7294/7881 is

GCF of Numerators i.e. for 3061,7294 is 1

LCM of denominators i.e. for 806,7881 is 6352086.

Thus, GCF of Fractions is 1/6352086.Finally, GCF of Fractions for 3061/806, 7294/7881 is 1/6352086.