How to Find GCF of 9681/234, 7925/7886?

GCF of 9681/234, 7925/7886

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 9681/234, 7925/7886 i.e 1/922662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9681/234, 7925/7886.

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 9681/234,7925/7886?

Given fractions are 9681/234,7925/7886

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 9681/234,7925/7886, numerators are 9681,7925

Denominators are 234,7886

The GCF of 9681,7925 is 1 .

LCM of 234,7886 is 922662.

The greatest common factor of 9681/234,7925/7886 = [GCF of 9681,7925]/[LCM of 234,7886]= 1/922662

Therefore, the GCF of 9681/234,7925/7886 is 1/922662.

Greatest Common Factor of 9681,7925

To find the highest common factor of 9681,7925, we have to find the factors of both numbers and list the highest common factor.

The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681

The factors of 7925 are 1, 5, 25, 317, 1585, 7925

The HCF of 9681,7925 is 1.

Lets's calculate GCF of 9681,7925

Greatest Common Factor (GCF) of 9681,7925 By Common Division

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

Greatest Common Factor of 9681,7925 By Matching Biggest Common Factor Method

Now, list down the factors of 9681

1,3,7,21,461,1383,3227,9681

Now, list down the factors of 7925

1,5,25,317,1585,7925

Greatest Common Factor

We found the factors 9681,7925 . The biggest common factor number is the GCF number.
So the greatest common factor 9681,7925 is 1.

Lets's calculate LCM of 234,7886

Lowest Common Multiple of 234,7886 using Common Division

2	234, 7886
	117, 3943

∴ So the LCM of the given numbers is 2 x 117 x 3943 = 922662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922662

Therefore, the GCF of Fractions 9681/234,7925/7886 is 1/922662

Least Common Multiple of 234,7886 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 234,7886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,7886) = 2

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

GCF(234,7886) x common factors =2 x 1 = 2

LCM(234,7886) = ( 234 × 7886 ) / 2

LCM(234,7886) = 1845324 / 2

LCM(234,7886) = 922662

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FAQs on GCF of Fractions of 9681/234, 7925/7886

1. What is the HCF of 9681,7925?

The HCF of 9681,7925 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 9681/234, 7925/7886?

Answer: GCF of Numerators as per given numbers 9681/234, 7925/7886 is

GCF of Numerators i.e. for 9681,7925 is 1

LCM of denominators i.e. for 234,7886 is 922662.

Thus, GCF of Fractions is 1/922662.Finally, GCF of Fractions for 9681/234, 7925/7886 is 1/922662.