How to Find GCF of 7681/618, 9861/2978?

GCF of 7681/618, 9861/2978

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 7681/618, 9861/2978 i.e 1/920202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7681/618, 9861/2978.

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 7681/618,9861/2978?

Given fractions are 7681/618,9861/2978

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 7681/618,9861/2978, numerators are 7681,9861

Denominators are 618,2978

The GCF of 7681,9861 is 1 .

LCM of 618,2978 is 920202.

The greatest common factor of 7681/618,9861/2978 = [GCF of 7681,9861]/[LCM of 618,2978]= 1/920202

Therefore, the GCF of 7681/618,9861/2978 is 1/920202.

Greatest Common Factor of 7681,9861

To find the highest common factor of 7681,9861, we have to find the factors of both numbers and list the highest common factor.

The factors of 7681 are 1, 7681

The factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861

The HCF of 7681,9861 is 1.

Lets's calculate GCF of 7681,9861

Greatest Common Factor (GCF) of 7681,9861 By Common Division

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

Greatest Common Factor of 7681,9861 By Matching Biggest Common Factor Method

Now, list down the factors of 7681

1,7681

Now, list down the factors of 9861

1,3,19,57,173,519,3287,9861

Greatest Common Factor

We found the factors 7681,9861 . The biggest common factor number is the GCF number.
So the greatest common factor 7681,9861 is 1.

Lets's calculate LCM of 618,2978

Lowest Common Multiple of 618,2978 using Common Division

2	618, 2978
	309, 1489

∴ So the LCM of the given numbers is 2 x 309 x 1489 = 920202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/920202

Therefore, the GCF of Fractions 7681/618,9861/2978 is 1/920202

Least Common Multiple of 618,2978 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 618,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,2978) = 2

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

GCF(618,2978) x common factors =2 x 1 = 2

LCM(618,2978) = ( 618 × 2978 ) / 2

LCM(618,2978) = 1840404 / 2

LCM(618,2978) = 920202

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FAQs on GCF of Fractions of 7681/618, 9861/2978

1. What is the HCF of 7681,9861?

The HCF of 7681,9861 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 7681/618, 9861/2978?

Answer: GCF of Numerators as per given numbers 7681/618, 9861/2978 is

GCF of Numerators i.e. for 7681,9861 is 1

LCM of denominators i.e. for 618,2978 is 920202.

Thus, GCF of Fractions is 1/920202.Finally, GCF of Fractions for 7681/618, 9861/2978 is 1/920202.