How to Find GCF of 8071/761, 4908/9747?

GCF of 8071/761, 4908/9747

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 8071/761, 4908/9747 i.e 1/7417467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8071/761, 4908/9747.

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 8071/761,4908/9747?

Given fractions are 8071/761,4908/9747

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 8071/761,4908/9747, numerators are 8071,4908

Denominators are 761,9747

The GCF of 8071,4908 is 1 .

LCM of 761,9747 is 7417467.

The greatest common factor of 8071/761,4908/9747 = [GCF of 8071,4908]/[LCM of 761,9747]= 1/7417467

Therefore, the GCF of 8071/761,4908/9747 is 1/7417467.

Greatest Common Factor of 8071,4908

To find the highest common factor of 8071,4908, we have to find the factors of both numbers and list the highest common factor.

The factors of 8071 are 1, 7, 1153, 8071

The factors of 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908

The HCF of 8071,4908 is 1.

Lets's calculate GCF of 8071,4908

Greatest Common Factor (GCF) of 8071,4908 By Common Division

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

Greatest Common Factor of 8071,4908 By Matching Biggest Common Factor Method

Now, list down the factors of 8071

1,7,1153,8071

Now, list down the factors of 4908

1,2,3,4,6,12,409,818,1227,1636,2454,4908

Greatest Common Factor

We found the factors 8071,4908 . The biggest common factor number is the GCF number.
So the greatest common factor 8071,4908 is 1.

Lets's calculate LCM of 761,9747

Lowest Common Multiple of 761,9747 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7417467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7417467

Therefore, the GCF of Fractions 8071/761,4908/9747 is 1/7417467

Least Common Multiple of 761,9747 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 761,9747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,9747) = 1

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

GCF(761,9747) x common factors =1 x 1 = 1

LCM(761,9747) = ( 761 × 9747 ) / 1

LCM(761,9747) = 7417467 / 1

LCM(761,9747) = 7417467

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FAQs on GCF of Fractions of 8071/761, 4908/9747

1. What is the HCF of 8071,4908?

The HCF of 8071,4908 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 8071/761, 4908/9747?

Answer: GCF of Numerators as per given numbers 8071/761, 4908/9747 is

GCF of Numerators i.e. for 8071,4908 is 1

LCM of denominators i.e. for 761,9747 is 7417467.

Thus, GCF of Fractions is 1/7417467.Finally, GCF of Fractions for 8071/761, 4908/9747 is 1/7417467.