How to Find GCF of 9766/348, 9791/7908?

GCF of 9766/348, 9791/7908

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 9766/348, 9791/7908 i.e 1/229332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9766/348, 9791/7908.

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 9766/348,9791/7908?

Given fractions are 9766/348,9791/7908

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 9766/348,9791/7908, numerators are 9766,9791

Denominators are 348,7908

The GCF of 9766,9791 is 1 .

LCM of 348,7908 is 229332.

The greatest common factor of 9766/348,9791/7908 = [GCF of 9766,9791]/[LCM of 348,7908]= 1/229332

Therefore, the GCF of 9766/348,9791/7908 is 1/229332.

Greatest Common Factor of 9766,9791

To find the highest common factor of 9766,9791, we have to find the factors of both numbers and list the highest common factor.

The factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766

The factors of 9791 are 1, 9791

The HCF of 9766,9791 is 1.

Lets's calculate GCF of 9766,9791

Greatest Common Factor (GCF) of 9766,9791 By Common Division

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

Greatest Common Factor of 9766,9791 By Matching Biggest Common Factor Method

Now, list down the factors of 9766

1,2,19,38,257,514,4883,9766

Now, list down the factors of 9791

1,9791

Greatest Common Factor

We found the factors 9766,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 9766,9791 is 1.

Lets's calculate LCM of 348,7908

Lowest Common Multiple of 348,7908 using Common Division

2	348, 7908
2	174, 3954
3	87, 1977
	29, 659

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 659 = 229332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229332

Therefore, the GCF of Fractions 9766/348,9791/7908 is 1/229332

Least Common Multiple of 348,7908 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 348,7908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,7908) = 12

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

GCF(348,7908) x common factors =12 x 1 = 12

LCM(348,7908) = ( 348 × 7908 ) / 12

LCM(348,7908) = 2751984 / 12

LCM(348,7908) = 229332

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FAQs on GCF of Fractions of 9766/348, 9791/7908

1. What is the HCF of 9766,9791?

The HCF of 9766,9791 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 9766/348, 9791/7908?

Answer: GCF of Numerators as per given numbers 9766/348, 9791/7908 is

GCF of Numerators i.e. for 9766,9791 is 1

LCM of denominators i.e. for 348,7908 is 229332.

Thus, GCF of Fractions is 1/229332.Finally, GCF of Fractions for 9766/348, 9791/7908 is 1/229332.